The key to why this video is so good… You walked through the narrative of discovery. This is what so many mathematics teachers do not understand if they taught math like history, then it would be better understood by most.
I was going to to say exactly the same thing. But only the best of teachers who know and love to understand mathematics teach this. Unfortunately nowadays it's just superficial teaching just to get the marks.
I had Trig in high school, then a review in college. Both times, I struggled with the Trig Identities, because we were supposed to memorize them. Years later, I wanted to go back and take my math studies further. I took Trig as a refresher and the Professor introduced the unit circle. I immediately realized that what I'd been struggling to memorize was nothing more than the Pythagorean Theorem. They had just renamed A, B, and C as Trig functions. Why didn't anyone else explain that?
That's why i hated maths when I was in high school.Most teachers don't go deep into the subject and dive through an explanatory of why we using those principles and why it's that way. I'm that kind of person who needs to understand the essence of the matter in order for the bulb to light up and having those 'aha' moments. At that point,it would be a lot more smooth and would make more sense for us. We are so priviledge to have internet nowadays and be able to catch up all of that.
I am a 66 years old person , I wish some one told this then . It is so simple however the way we were taught we never understood what you explained . Now I will teach my grandchildren through this vedio . Well done my boy May god bless you
I am 58 years, I had to take biological science because non of my teachers in school taught this secret but had to mugup the formula not knowing the secret. Good job !!
it's insane how schools seemingly don't teach like this to be time efficient but completely fail to realize it's the things like these that add a sense of discovery and engages the student far more efficiently than simply memorizing the soh cah toa rule for the sake of a grade which at those ages one could simply not care for specially if you're from a lower class non academic family.
tbh it's because most teachers(at least outside of a college level/public schools) probably didn't even know about this and are just taught to teach certain concepts. It is sad to think about the past when we didn't have the Library of Alexandria in our pockets and you were forced to learn from people who barely understood math and gave inaccurate or no explanation behind their reasoning except "we're adults".
After thirty years, this is the first time that I finally understand WTF are sin and cos. This is so weird, in order to understand something as simple as this, we have to waste many years of struggling. I really appreciate what you've done 🙏♥
It wasn't you; it was your math teachers, who took a simple subject and made it incomprehensible, by teaching math as if you already understood it, with no explanation of the underlying principles, relationships, or purpose in learning the math. Even Carl Sagan, the famous astrophysicist, said that when he was young, math teachers taught purely by rote, with no explanations or understanding themselves what they were teaching.
@@number5322 , Because your teachers made it incomprehensible with their teaching methods. When I was a kid, students learned In Spite of their teachers, not because of them.
It’s been over a year, and I’m still waiting for a part two. There’s no other video that explains it as well as this one. Surprised there’s so little views…
I would love more teachers telling why this kind of stuff works and why it's useful instead of just teaching you how to do it, it turns it from daunting to actually interesting
It helped me that I was coding and experimenting with these functions. Loop from 0 to some random number, put sin on the x axis, cos on the y and hey look, it's drawing circles! Cool, but no idea what I could do with it. It later made sense that it could be used to move a character on the screen in a certain direction and speed. Fast forward 3 decades, there are probably a lot of libraries that take the work of making game physics out of your hands :)
5/8/2024 - The utility, I.e., usefulness, of trig is learned through word problems, studying calculus, physics, navigation, chemistry and electric circuits.
This video is awesome, because it most importantly explains WHY these functions exist. Not like in school where the teacher just blabers out the equations & goes about his/her day.
@@prakharmishra5583 I know some people don't get sarcasm, but dang! It's still annoying when it happens to you. I know about Real Analysis, Groups, Rings, Fields, Galois Theory, Ergodic Dynamical systems, etc.
by far the best explanation of Sin, Cos and Tan i've ever heard That you explain it from the ground up instead of the normal "it's just a rule, learn it" approach makes it so much easier to understand....almost seem simpel now
I am 70 next birthday, I have never had this explained, not at school or work. I got by by always following a predetermined method You made the helpful simple assumption that the person does not know what youre talking about, and started there I hope you return Thanks
holy hell this channel is a goldmine, I wondered where these random numbers came from, I sort of just mechanically did the formulas my teacher told us. Thank you!
I learned this about 50 years ago... I understood it well then but I wish there were teachers like this in the old days. Trigonometry and Logarithm tables used to confound me as to their purpose in life! Well done Mr. Syed.
Because you are not meant to learn it, they just want you to memorize everything and perform to each test which is not a good way to understand the topic but just making people go through a class to class
@@RPSchonherr One Scottish mathematician had a brilliant breakthrough before calculus was an understood concept according to Wikipedia. Look up history of logarithms page there,. "Napier conceived the logarithms as the relationship between two particles moving along a line, one at a constant speed and the other at a speed proportional to its distance from a fixed endpoint." Dude literally just... went "logarithms!" and it caught on.
Honestly, when you know the purpose of all these maths it helps you learn it more quickly and efficiently. That's why I searched for it and I am glad I did.
Regarding 6:58 Trigonometric Table. Before the invention of the electronic calculator, the logarithmic Slide Rule was a handheld calculator commonly used. A Slide Rule having trigonometric scales could calculate Sin, Cos and Tan. The S Scale was used for Sin and Cos. The T Scale was used for Tan. The ST Scale was used for Sin, Cos and Tan for angles less than 5.74 degrees.
I remember slide rules, but never got to use 1 because by the time I got to take basic geometry in junior high, trig tables were the order of the day & by the time I got to take elementary functions in high school, calculators were. How could I know about slide rules if I never used 1? They were incorporated into the pen & pencil boxes one used to buy for school back in the 80's & earlier.
In Vietnam, we learn the formula via a poem: "Tìm sin lấy đối chia huyền Cosin lấy cạnh kề, huyền chia nhau Còn tang ta hãy tính sau Đối trên, kề dưới chia nhau ra liền Cotang ngược lại với tang." It's nice to see many adults come here to check their memory like I do. Love the way you guys remember it: SOHCAHTOA : easy peasy :)
Ever since a teacher (20+ years ago) told the class that the code in computers and calculators to calculate Sin is several pages long, I've though Sin is some impossible thing for me to ever be able to understand, so I have avoided sin/cos/tan as much as possible when programming (as I prefer if my code relies on things I understand). But now, youtube recomended this video and I thought I could at least give 10 minutes of my life to try and see what Sin is all about.... and yeah, wow, that was simple to understand. Thank you for a very elegant explanation. :)
Calculators, especially 2 decades ago, used numerical method to calculate Trig values. For Sin would be Angle-Ang^3/3!+.... so..even though several pages might be exaggeration, your teacher was in theory correct.
@@wasay456 In fact 30-40 years ago if you needed a fast SIN or COS function what you used was a precomputed table of values so it may not be an exaggeration...
I switched off from my studies as a young student because no teacher could explain the relationship between the Sin 0.5 and Cosine 0.866 values, etc. They were too busy wrapped up in numbers without any visual clues. If only my teacher had drawn a circle on the blackboard and split it into quadrants. Forming the x and y axis, and then said, treat the radius as one unit. Project an angle ( let's say 30° through the centre of the quadrant) and where it meets the circumference (1 unit= let's say 100mm for the purpose of the exercise), drop a perpendicular intersection to the x axis. That would be 86mm (0.86).Then, project a perpendicular intersection to the y axis from the same point on the circumference, which would form the 50mm (0.5). Therefore, forming the relationships between sine and cosine. And Tan would be the intersection of the y axis, hence the reason it's infinity at 90°. It would have made so much more sense earlier on in my life. After that, it's all simple ratio and proportion, which you've explained really well here.
Hands down the best explanation for something that I was asking about in grade 10 many years ago....no one ever could explain it to me while I was in school. They just told me to use the Sin/Cos/Tan function without explaining what they were for. I am not sure if there is a place for this in every day life...but I am sure if I thought about it long enough, I could find a way to use it every day.
Sin/Cos/Tan is VERY helpful in finding a point on a circles edge when you know the xy coordinates. But this video shows the graphic representation of these ideas. Once you understand something visually it is hard to forget it. He did a good job here. I am an automotive technology instructor and I have a goal in my class, , or motto if you will, of NOT teaching people what I know, rather to tell them what they NEED to know, to understand the subject matter. Believe me, the approach make a difference. Darrow...for the Prosecution
Thats how other people who truly understand mathematics are able to innovate and build amazing software like 3d design programs, or create vector databases and come up with all these similarity search algorithms. If all math was taught like this, most people will be really innovative with it. I'm still to understand what exactly integration does in real life lol
This is the correct way to explain mathematics ❤Thank you so much ..TH-cam or any other field I request you to continue teaching this way please...the world needs more people like you ❤
Reading some of the comments here, I can only wonder what kind of teaching actually goes on in school these days. What was shown in this video was exactly what was taught by my math teachers. I remember being shown the unit circle & how all the sin, cos, tan, & their inverse angle values were derived from it. Logarithms & natural logarithms were the things I didn't fully grasp: just enough to mechanically solve the problems, but not enough to fully understand what I was actually doing.
Reminds me of Mathematics in high school in South Africa in the late 60s. Each of us had what we called a "log book", which contained all the values of sine, cosine and tan, as well as all the logarithmic tables (no calculators then!).
Paused at 3.32 to just sit here in disgust remembering my college trig encounter. But, I discovered from that same era, it's the presentation that makes all the difference. So, thanks! The best presentation of this material I've seen on TH-cam, without question.
My father had only the 4th grade (b. 1944) and started working with 10yo as tinsmith apprentice in is uncle shop. He told me that he found the relationship (pi) between diameter and perimeter to help him cutting the metal sheet with proper dimensions.
Wow! I was really good at maths but missed a year. When I rejoined after a year in college and trigonometry was rushed through, I was clueless. I wondered what the heck Sin, Cos and Tan were. Now I understand... finally.
I was an A maths student right up until Year 9. The last thing I remember encountering in maths was SOH CAH TOA. I never understood it (or the strong accent of my teacher), and it was never explained to me in a way that made sense. I fell behind, started failing, and dropped out of school after Year 11. I'm 48 now, and you just explained Sin, Cos, and Tan in a way that I actually understand! Thank you. 😀
I'm two years late, But I have to congratulate you on teaching mathematics the way it should have been taught, through logical discovery and abstraction. Mathmatics is a tool, a utility, and using it as such helps with understanding it.
Sir, I just sub'd. I wish I'd had you as my math teacher in High School when I began studying trigonometry & algebra. You're detail & I sights clarifies a great deal...and so easy to understand. I'm 68 years old and retired now. You actually make this instruction....fun!
The worst thing is that they never teach "how?" in school and that's why it doesn't stick in the mind. Gotta say this video was simple but informative👍
in my 27 years of age and collage highschool and elementary NO ONE HAS EVER PRESENTED IT BETTER THAN THIS If it was i would had long finished collage by now and not be dropout...
After so many years of my life Today only I noticed how the Clark's table was prepared for all the angles 0 to 90 Very good teaching Hatts of your knowledge
Great work sir ! .. I wish school teachers had same simple approach. My Love for maths has grown over the time but lack of basic always pushed me back.
I wish I had this visual aid in school, our teachers made it hard for us to learn anything, as if they enjoyed seeing students struggle. This was in the 90's.
Thank you. That was clear and concise even to me, a musician. I vaguely remember it was a way of finding the height of a lamp post without having to climb up it and dangle a tape measure. In my day, pocket calculators hadn't been invented so we had pocket sized books of these three tables instead!
Jesus Christ, I’m in *college* and this is the very first time anyone has ever explained this to me in this way. Seriously I’ve gone my whole academic life without ever connecting the actual understanding between Sohcahtoa and the universal outputs they’ll create
This was never spelled out as I recall, in school. Where as others have said, they learn more from you tube than school. Where knowing how to teach is an actual skill. Knowing the subject is a skill. Thoroughly knowing the subject and demonstrating application gives it rational meaning so one knows what they be doing. Miss Pietsu was an excellent math teacher I had, but she wasn't with public school system.
lmao, I finally understand the formula's to calculate diameters and circumferences. Why didn't my teacher never said that pi is equal to cirumferences divided by the diameter. Also his teaching methods, the way he talks, and the way he tries us let us think like we are doing the research is just brilliant teaching. They should clone this man!
"Ever"? Seems a bit of an exaggeration. You learnt proper punctuation and capitalisation. But really, you either attended school for less than 9m 14s, or you suffer from severe retrograde amnesia. Or you are exaggerating...
Thank you. When I was studying math (all those eons ago), they taught to the exam, it was enough that when given the question we could (most of the time) calculate the correct answer. Our teacher never really explained why. (Perhaps she didn’t know why herself 😱)
This is the best explanation of the basic trig. functions I have seen. Like many other commenters on here, I wish to God I had seen something like this when I was a kid; I would have been much less afraid to take trigonometry and other math courses, which I aways assumed I would fail (and would have failed, given the horrible math teachers I had, which taught purely by rote, with no explanation of relationships or purpose in the math).
Been watching this type of tutorials for a while, and just now, i realized that none of my professors back in high school and college ever relate these things to actual stuff in real world. That these topics are derived and developed by resolving problems in real life. I wished someone taught me math this way.
And I always ask myself where did the Pi come from and what is the relation between the triangle and circle, this presentation gives really an awesome explanation, thanks dude.
If online resources like this was available during my days, I think many students could have landed on a better career path. I wanted to be an ECE during my days because I was so curious how electronic things work, but due to my poor math skills I never pursued it. It is fascinating nowadays how information / knowledge is very much accessible for almost everyone but very unfortunate that many students nowadays do not grab this kind of opportunity to learn things.
I cannot express how grateful I am for this video. Incredibly consice and informative. Im studying engineering and I seriously needed this, as I now COMPREHEND trig functions, thanks to your clear explanation. I hope you continue uploading. Again, thank you
Without doubt I would have been an accomplished engineer had I been taught practically like this. I simply couldn’t comprehend and ended up just scoring 80% and moved on without entering engineering subjects. I can’t marry something without knowing its fundamentals. Somehow I had to byheart with a heavy heart. Amazing video
BRO, UNDERSTOOD EVERYTHING. I was paying a lot of money for instructor cuz Im struggling with math for final exam, especially angles and trigonometrics. Thank you
Seriously, this is why most students struggle math. Teachers should take note how this was explained and it has more sense. In my days, my teacher will just jump on something and don't bother to explain why it's like that, just deal with it. So you end up memorizing it and doesn't have any importance and eventually forgot about it.
Hello professor Thank you so much for your help and advice , I really appreciate your job. I wish you peace and happiness under the sky of prosperity. All the best. Take care and have a good time.
![[TH] 2024 PMGC League | Survival Stage วันที่ 1 | PUBG MOBILE Global Championship](http://i.ytimg.com/vi/FVFT-PFwU80/mqdefault.jpg)
![[MV] A leap of faith...ความเชื่อใจครั้งสุดท้าย (From "Petrichor the series")](http://i.ytimg.com/vi/U1piZH2CNXA/mqdefault.jpg)
The key to why this video is so good… You walked through the narrative of discovery. This is what so many mathematics teachers do not understand if they taught math like history, then it would be better understood by most.
I was going to to say exactly the same thing. But only the best of teachers who know and love to understand mathematics teach this. Unfortunately nowadays it's just superficial teaching just to get the marks.
I had Trig in high school, then a review in college. Both times, I struggled with the Trig Identities, because we were supposed to memorize them. Years later, I wanted to go back and take my math studies further. I took Trig as a refresher and the Professor introduced the unit circle. I immediately realized that what I'd been struggling to memorize was nothing more than the Pythagorean Theorem. They had just renamed A, B, and C as Trig functions. Why didn't anyone else explain that?
Indeed. -All maths- _Everything_ should be taught with context, not just rote memorization.
Same here, teachers and lecturers never provide the basic foundation.
That's why i hated maths when I was in high school.Most teachers don't go deep into the subject and dive through an explanatory of why we using those principles and why it's that way. I'm that kind of person who needs to understand the essence of the matter in order for the bulb to light up and having those 'aha' moments. At that point,it would be a lot more smooth and would make more sense for us. We are so priviledge to have internet nowadays and be able to catch up all of that.
I am a 66 years old person , I wish some one told this then . It is so simple however the way we were taught we never understood what you explained .
Now I will teach my grandchildren through this vedio .
Well done my boy May god bless you
The great mystery is solved! I am 62 and finally seen the light.
I am 58 years, I had to take biological science because non of my teachers in school taught this secret but had to mugup the formula not knowing the secret. Good job !!
Same here
@@powerwagon3731 Me too at 70 yrs old and I finally see the light!! Why wasn't this the very FIRST thing taught to us in trig class in school!
im 99 and damn this vid changed my life
it's insane how schools seemingly don't teach like this to be time efficient but completely fail to realize it's the things like these that add a sense of discovery and engages the student far more efficiently than simply memorizing the soh cah toa rule for the sake of a grade which at those ages one could simply not care for specially if you're from a lower class non academic family.
....but don't worry, there is plenty of time spent teaching stupid "pronouns" and why boys can use the girl's bathrooms.
tbh it's because most teachers(at least outside of a college level/public schools) probably didn't even know about this and are just taught to teach certain concepts.
It is sad to think about the past when we didn't have the Library of Alexandria in our pockets and you were forced to learn from people who barely understood math and gave inaccurate or no explanation behind their reasoning except "we're adults".
They just think we are all too dumb for that lol
@@xpwnx1337 i know! they think we're lobotomized pigeons
2 years no part 2
Like for real even with another account ,maybe
😢
part two and three are behind the patron pay wall. they’re amazing.
Make that 3 😂🎉
@@stevereid7773 you mean their youtube membership? i can't find their patereon
After thirty years, this is the first time that I finally understand WTF are sin and cos.
This is so weird, in order to understand something as simple as this, we have to waste many years of struggling.
I really appreciate what you've done 🙏♥
How were many years wasted?
I've come to the same realization. How could I have not understood this???
This should be the first lecture when teaching Sin, Cos, Tan... but I think even the teachers don't know about this.
It wasn't you; it was your math teachers, who took a simple subject and made it incomprehensible, by teaching math as if you already understood it, with no explanation of the underlying principles, relationships, or purpose in learning the math.
Even Carl Sagan, the famous astrophysicist, said that when he was young, math teachers taught purely by rote, with no explanations or understanding themselves what they were teaching.
@@number5322 , Because your teachers made it incomprehensible with their teaching methods. When I was a kid, students learned In Spite of their teachers, not because of them.
When you find out you failed trigonometry because your "teacher" had knowledge but completely lacked understanding...30 years later
It’s been over a year, and I’m still waiting for a part two. There’s no other video that explains it as well as this one. Surprised there’s so little views…
I would love more teachers telling why this kind of stuff works and why it's useful instead of just teaching you how to do it, it turns it from daunting to actually interesting
It helped me that I was coding and experimenting with these functions. Loop from 0 to some random number, put sin on the x axis, cos on the y and hey look, it's drawing circles! Cool, but no idea what I could do with it. It later made sense that it could be used to move a character on the screen in a certain direction and speed.
Fast forward 3 decades, there are probably a lot of libraries that take the work of making game physics out of your hands :)
Thats why im glad my math teacher shows how all the stuff we learn is derived. although we're not at trig yet.
5/8/2024 - The utility, I.e., usefulness, of trig is learned through word problems, studying calculus, physics, navigation, chemistry and electric circuits.
I wish conceptual explanations like this were given in school. I was good at maths but this would have given me a much better basis
same
You were... but you weren't listening.
same with me as well
@@billdavies6463 speak for yourself
@@billdavies6463 nah i never knew the actual value of things like rad3/2, but knowing its just.866 is mindblowing
Understand it. Unfortunately 55 years after taking my school maths exam.
Fortunately 25 years for me 😛
Unironically the best explanation I’ve seen. Now judging by his posting schedule we’ll have part 2 in the next month or so
😂 right!
Guess again. Its a shame, the first one was good. Gonna gave to look elsewhere for the conclusion.
Seven months later…
@@roundhouse2616 oof
After 1 year........
This video is awesome, because it most importantly explains WHY these functions exist.
Not like in school where the teacher just blabers out the equations & goes about his/her day.
bro left us on a cliff hanger for 8 months now💀
Over a year now, maybe the maths hasn't been invented yet? Hahaha
@@Rdkubala maybe?
@@standowner6979 uh bro this is just basic trigonometry there's way more advanced maths they teach us 😭😭😭
@@prakharmishra5583 I know some people don't get sarcasm, but dang! It's still annoying when it happens to you.
I know about Real Analysis, Groups, Rings, Fields, Galois Theory, Ergodic Dynamical systems, etc.
@@standowner6979 ah nvm happens with everyone, have a good one
by far the best explanation of Sin, Cos and Tan i've ever heard
That you explain it from the ground up instead of the normal "it's just a rule, learn it" approach makes it so much easier to understand....almost seem simpel now
I've been through maths half way thru calculus and this is the first video I've seen that has illustrated this concept so succinctly.
I am 70 next birthday, I have never had this explained, not at school or work. I got by by always following a predetermined method
You made the helpful simple assumption that the person does not know what youre talking about, and started there
I hope you return
Thanks
holy hell this channel is a goldmine, I wondered where these random numbers came from, I sort of just mechanically did the formulas my teacher told us. Thank you!
BRO R U REALY A VIRIFIED GAMER
When a gamer learns trigonometry. RESPECT TOWARDS TRIGNOMETRY+++++++
noice
nice to see you here !
Trust in Jesus Christ LORD and SAVIOR Amen
I am 34 now & I feel this is the first time I could actually understand the entire narrative of Trigonometry . Thx a ton brother
I learned this about 50 years ago... I understood it well then but I wish there were teachers like this in the old days. Trigonometry and Logarithm tables used to confound me as to their purpose in life! Well done Mr. Syed.
OH yeah, how is the log derived? That was also on my mind in college algebra besides how sin and cos are.
Because you are not meant to learn it, they just want you to memorize everything and perform to each test which is not a good way to understand the topic but just making people go through a class to class
@@RPSchonherr
One Scottish mathematician had a brilliant breakthrough before calculus was an understood concept according to Wikipedia. Look up history of logarithms page there,. "Napier conceived the logarithms as the relationship between two particles moving along a line, one at a constant speed and the other at a speed proportional to its distance from a fixed endpoint." Dude literally just... went "logarithms!" and it caught on.
Honestly, when you know the purpose of all these maths it helps you learn it more quickly and efficiently. That's why I searched for it and I am glad I did.
Regarding 6:58 Trigonometric Table. Before the invention of the electronic calculator, the logarithmic Slide Rule was a handheld calculator commonly used. A Slide Rule having trigonometric scales could calculate Sin, Cos and Tan. The S Scale was used for Sin and Cos. The T Scale was used for Tan. The ST Scale was used for Sin, Cos and Tan for angles less than 5.74 degrees.
I remember slide rules, but never got to use 1 because by the time I got to take basic geometry in junior high, trig tables were the order of the day & by the time I got to take elementary functions in high school, calculators were.
How could I know about slide rules if I never used 1? They were incorporated into the pen & pencil boxes one used to buy for school back in the 80's & earlier.
In Vietnam, we learn the formula via a poem:
"Tìm sin lấy đối chia huyền
Cosin lấy cạnh kề, huyền chia nhau
Còn tang ta hãy tính sau
Đối trên, kề dưới chia nhau ra liền
Cotang ngược lại với tang."
It's nice to see many adults come here to check their memory like I do. Love the way you guys remember it: SOHCAHTOA : easy peasy :)
may i ask, do you alter the pitch of words to denote meaning in the poem?
Ever since a teacher (20+ years ago) told the class that the code in computers and calculators to calculate Sin is several pages long, I've though Sin is some impossible thing for me to ever be able to understand, so I have avoided sin/cos/tan as much as possible when programming (as I prefer if my code relies on things I understand). But now, youtube recomended this video and I thought I could at least give 10 minutes of my life to try and see what Sin is all about.... and yeah, wow, that was simple to understand. Thank you for a very elegant explanation. :)
Calculators, especially 2 decades ago, used numerical method to calculate Trig values. For Sin would be Angle-Ang^3/3!+.... so..even though several pages might be exaggeration, your teacher was in theory correct.
@@wasay456 In fact 30-40 years ago if you needed a fast SIN or COS function what you used was a precomputed table of values so it may not be an exaggeration...
I switched off from my studies as a young student because no teacher could explain the relationship between the Sin 0.5 and Cosine 0.866 values, etc. They were too busy wrapped up in numbers without any visual clues.
If only my teacher had drawn a circle on the blackboard and split it into quadrants. Forming the x and y axis, and then said, treat the radius as one unit. Project an angle ( let's say 30° through the centre of the quadrant) and where it meets the circumference (1 unit= let's say 100mm for the purpose of the exercise), drop a perpendicular intersection to the x axis. That would be 86mm (0.86).Then, project a perpendicular intersection to the y axis from the same point on the circumference, which would form the 50mm (0.5). Therefore, forming the relationships between sine and cosine. And Tan would be the intersection of the y axis, hence the reason it's infinity at 90°. It would have made so much more sense earlier on in my life. After that, it's all simple ratio and proportion, which you've explained really well here.
Hands down the best explanation for something that I was asking about in grade 10 many years ago....no one ever could explain it to me while I was in school. They just told me to use the Sin/Cos/Tan function without explaining what they were for. I am not sure if there is a place for this in every day life...but I am sure if I thought about it long enough, I could find a way to use it every day.
Sin/Cos/Tan is VERY helpful in finding a point on a circles edge when you know the xy coordinates. But this video shows the graphic representation of these ideas. Once you understand something visually it is hard to forget it. He did a good job here. I am an automotive technology instructor and I have a goal in my class, , or motto if you will, of NOT teaching people what I know, rather to tell them what they NEED to know, to understand the subject matter. Believe me, the approach make a difference.
Darrow...for the Prosecution
Thats how other people who truly understand mathematics are able to innovate and build amazing software like 3d design programs, or create vector databases and come up with all these similarity search algorithms. If all math was taught like this, most people will be really innovative with it. I'm still to understand what exactly integration does in real life lol
This is the correct way to explain mathematics ❤Thank you so much ..TH-cam or any other field I request you to continue teaching this way please...the world needs more people like you ❤
why don't they teach this at school instead of just giving us soh cah toa
Because they does not know
Reading some of the comments here, I can only wonder what kind of teaching actually goes on in school these days. What was shown in this video was exactly what was taught by my math teachers. I remember being shown the unit circle & how all the sin, cos, tan, & their inverse angle values were derived from it. Logarithms & natural logarithms were the things I didn't fully grasp: just enough to mechanically solve the problems, but not enough to fully understand what I was actually doing.
Reminds me of Mathematics in high school in South Africa in the late 60s. Each of us had what we called a "log book", which contained all the values of sine, cosine and tan, as well as all the logarithmic tables (no calculators then!).
Paused at 3.32 to just sit here in disgust remembering my college trig encounter. But, I discovered from that same era, it's the presentation that makes all the difference. So, thanks! The best presentation of this material I've seen on TH-cam, without question.
My father had only the 4th grade (b. 1944) and started working with 10yo as tinsmith apprentice in is uncle shop. He told me that he found the relationship (pi) between diameter and perimeter to help him cutting the metal sheet with proper dimensions.
The greatest teacher i'v ever encountered
Being a maths teacher is a gift so few of them around it is such a beautifull thing once you understand the basics
Noooo just when I started "getting" trigonometry for the first time, please come back with the part 2
Please do part 2! I'm struggling with trygonometric functions and this is the first video that makes me sense about this. 🙏🙏
Hey it has been 5 months since he has uploaded this video do you know where to find part 2 if he uploaded it
@@amrwael4261 lol it's been a year now
@@aurapain5757 still 🤐
@@muhammedzaid857 still waiting
Still waiting 🍺
This is a great intro to trigonometry, those who never did any trigonometry.
Wow! I was really good at maths but missed a year. When I rejoined after a year in college and trigonometry was rushed through, I was clueless. I wondered what the heck Sin, Cos and Tan were. Now I understand... finally.
I was an A maths student right up until Year 9. The last thing I remember encountering in maths was SOH CAH TOA.
I never understood it (or the strong accent of my teacher), and it was never explained to me in a way that made sense. I fell behind, started failing, and dropped out of school after Year 11.
I'm 48 now, and you just explained Sin, Cos, and Tan in a way that I actually understand!
Thank you. 😀
2 years still no part 2 😞
22 years old and learned something new today.
Superb explanation. I wish schools and textbooks should also explain like this. Great Work.
I'm two years late, But I have to congratulate you on teaching mathematics the way it should have been taught, through logical discovery and abstraction. Mathmatics is a tool, a utility, and using it as such helps with understanding it.
Never thought I would want to search things I will learn 3 years later.
Sir, I just sub'd.
I wish I'd had you as my math teacher in High School when I began studying trigonometry & algebra.
You're detail & I sights clarifies a great deal...and so easy to understand.
I'm 68 years old and retired now.
You actually make this instruction....fun!
This is the way teach students those who are studying trignometry , a big salute
Excellent. This is the first time I've ever understood where sine and cosine come from, and what they mean. Thank you!!!
After 50 yrs, I again learned about trigonometry thanks a bunch
The worst thing is that they never teach "how?" in school and that's why it doesn't stick in the mind. Gotta say this video was simple but informative👍
in my 27 years of age and collage highschool and elementary NO ONE HAS EVER PRESENTED IT BETTER THAN THIS
If it was i would had long finished collage by now and not be dropout...
You have taught basics so well, very beautifully explained, nobody taught the basics this way
so after 28 years, the concept is again restored, Many thanks Syed.
so far the best video on understanding the primary knowledge about trig. keep up the good work.. i hope part 2 is coming soon
After so many years of my life Today only I noticed how the Clark's table was prepared for all the angles 0 to 90 Very good teaching Hatts of your knowledge
Never had use of them, but now actually understand what they are. Excellent presentation. Thank you.
Oh man, I finally have a clear understanding about trig functions
Great work sir ! .. I wish school teachers had same simple approach. My Love for maths has grown over the time but lack of basic always pushed me back.
The only thing i remember is
Some people have
S= p/h
Curly brown hair
Cos = bass/ hypotinuse
Till painted black
Tan = perpendicular/base
Or just pbp hhb
P/h, b/h and p/b
This video was really well made and you're very talented at explaining these topics, I'm looking forward to a part 2
I wish I had this visual aid in school, our teachers made it hard for us to learn anything, as if they enjoyed seeing students struggle. This was in the 90's.
Thank you. That was clear and concise even to me, a musician. I vaguely remember it was a way of finding the height of a lamp post without having to climb up it and dangle a tape measure. In my day, pocket calculators hadn't been invented so we had pocket sized books of these three tables instead!
This is the one thing my school failed to explain but now makes things so much easier.
Jesus Christ, I’m in *college* and this is the very first time anyone has ever explained this to me in this way.
Seriously I’ve gone my whole academic life without ever connecting the actual understanding between Sohcahtoa and the universal outputs they’ll create
Hold on, I have no memory of this place...
Part 2 please! Such a good explanation!
This is amazing. Where has this this video been my whole life?
*2 YEARS ?!?!!!*
Nearly 60 years old, got O'level and A'Level in maths and used it in my engineering courses. Never have I seen trigonometry explained so well
Bro took longer time to release part 2 than avengers end game
Nice... Only took me bloody 40 years to finally understand the whole sincostan thing...
This was never spelled out as I recall, in school. Where as others have said, they learn more from you tube than school. Where knowing how to teach is an actual skill. Knowing the subject is a skill. Thoroughly knowing the subject and demonstrating application gives it rational meaning so one knows what they be doing.
Miss Pietsu was an excellent math teacher I had, but she wasn't with public school system.
I can't believe how easy math can be if the right person teaches it.
yes, it is true that someone else came up with that theorem first, but you brought to clarity for at least myself. Thank you!
Lucky to watch this video today. The fact is that today was the introductory class of trignomey at school😊😊.
Your the man i am searching all over in TH-cam,your doing great job in mathematics and i am waiting eagerly for your videos
lmao, I finally understand the formula's to calculate diameters and circumferences. Why didn't my teacher never said that pi is equal to cirumferences divided by the diameter. Also his teaching methods, the way he talks, and the way he tries us let us think like we are doing the research is just brilliant teaching. They should clone this man!
Thank you. You've taught me more in the length of this video than I ever learnt at school.
you "learnt" in school?? You need to go back.
"Ever"? Seems a bit of an exaggeration. You learnt proper punctuation and capitalisation. But really, you either attended school for less than 9m 14s, or you suffer from severe retrograde amnesia. Or you are exaggerating...
Why they didn't teach us like this in school? I hated trigonometry, now I love it. Thanks bro, you're the best.
Thank you.
When I was studying math (all those eons ago), they taught to the exam, it was enough that when given the question we could (most of the time) calculate the correct answer. Our teacher never really explained why. (Perhaps she didn’t know why herself 😱)
Very good and easy to understand explaination .
Missing in almost every textbook.
This is the best explanation of the basic trig. functions I have seen. Like many other commenters on here, I wish to God I had seen something like this when I was a kid; I would have been much less afraid to take trigonometry and other math courses, which I aways assumed I would fail (and would have failed, given the horrible math teachers I had, which taught purely by rote, with no explanation of relationships or purpose in the math).
This channel should have more subscribers as its explanation is so realistic and clear. Thank sir
Honestly they never taught this in school 😭 thank you so much 😀
Very well explained. Kindly where is the playlist i want to watch complete series.
Been watching this type of tutorials for a while, and just now, i realized that none of my professors back in high school and college ever relate these things to actual stuff in real world. That these topics are derived and developed by resolving problems in real life. I wished someone taught me math this way.
Needed for my Data Science journey.
Great video. I found the knowledge discovery teaching method sooo valuable. Thanks!
And I always ask myself where did the Pi come from and what is the relation between the triangle and circle, this presentation gives really an awesome explanation, thanks dude.
If online resources like this was available during my days, I think many students could have landed on a better career path.
I wanted to be an ECE during my days because I was so curious how electronic things work, but due to my poor math skills I never pursued it.
It is fascinating nowadays how information / knowledge is very much accessible for almost everyone but very unfortunate that many students nowadays do not grab this kind of opportunity to learn things.
I cannot express how grateful I am for this video. Incredibly consice and informative. Im studying engineering and I seriously needed this, as I now COMPREHEND trig functions, thanks to your clear explanation. I hope you continue uploading. Again, thank you
This was amazing, please make a part 2 ! I would absolutely love it to have the next part of the story !
guy probably ded
I was always wondering why the hell we studying trigonometry
None of my teachers teach me this way
Without doubt I would have been an accomplished engineer had I been taught practically like this. I simply couldn’t comprehend and ended up just scoring 80% and moved on without entering engineering subjects. I can’t marry something without knowing its fundamentals. Somehow I had to byheart with a heavy heart. Amazing video
This really was an amazing video, if only I was told this earlier
Amazing! After using these functions for years, I was finally like: What the hell am I actually doing? This really cleared my questions - thanks!
Hello! Please do your Part 2. You helped me here. Thank you.
BRO, UNDERSTOOD EVERYTHING. I was paying a lot of money for instructor cuz Im struggling with math for final exam, especially angles and trigonometrics. Thank you
I'm a 7th grader who's curiosity went beyond the level of normal humans
Im a 4th grader
@@morikun09 gugu gaga
if you took a moment to truly understand the vid, congrats you're gonna do great in maths!!
This never made sense when I studied it in class 35 years ago , I'm almost getting it now! Will start using my HP-35c again! Excellent presentation!!
Best video ever
Seriously, this is why most students struggle math. Teachers should take note how this was explained and it has more sense. In my days, my teacher will just jump on something and don't bother to explain why it's like that, just deal with it. So you end up memorizing it and doesn't have any importance and eventually forgot about it.
Hello professor
Thank you so much for your help and advice ,
I really appreciate your job. I wish you peace and happiness under the sky of prosperity.
All the best.
Take care and have a good time.