Please don,t make Khan academy as the "gold standard". There are many flaws in their videos. Mostly the instructor keeps blabbering constantly going back and forth confusing the student. Whereas, this video is so clear and exquisitely explained. Fully dedicated to a topic at a time. Thank you.
I hope this is sarcasm. I haven't watched khan academy but this guy here cant stay on topic... so please don't say youre serious when you say this guy is dedicated to one topic at a time.
That proof of how the points break the arc length into thirds is what I was searching for! You came so close to saying it then didn't!! Wonderful video nonetheless. There is some rare knowledge in it. Thank you.
Trigonomic Functions decoded.. Wow! Very impressed with the way you have taken out all the complexity from the functions, and reduced them into simple concepts that one is able to understand. You really turned our light Bulbs on!! That was powerfull!! Thanks a million for the video !!!
Often trig is taught as part of algebra, but it can also be taught as a separate course after the first algebra course; it really depends on how your instructors choose to teach it. It could be taught in a class called Algebra II, for example. Certainly trig is always taught before calculus, since trig is used and discussed in detail in all calculus courses. In summary: trig usually appears after the first algebra class but before calculus; exactly where depends on your curriculum.
The easy way to produce the unit circle is to divide a circle into 24 equal 15 degree graduations. Number these points from zero Pi to 2 Pi 0,1,2,3... then take those numbers and multiply them by Pi/12. You will have 8 extra locations on the your unit circle that you can use or throw away. The same method can be used to give you any number of equal graduations that is an even number. Just change the denominator to half that number.
I have been looking for a explication like this for more than 16 years. 16 years! so thanks! finally a answer to wtf Sin and cos is, that did not just leave me more confused.
This is a brilliant video! Currently I am self-teaching myself maths for the ACT, and before doing this I had never encountered trigonometric functions and the unit circle. Completely confusing is how I would describe all of the other videos/revision websites I have watched/read (in the case of videos in particular, because they fail to allow enough time to properly explain what's going on! This video, on the other hand, goes the full thousand miles!). Thank you!
Maybe someone already mentioned it but the trig identities listed at 36:32 have the x,y value backwards for sin/cos 30 degs. Sin (y) should be 1/2 and cos (x) sqrt3/2. Not a nit pick, just good of the order. Great video!
I wanna say that, this is just fantastic. I have to watch this video and also your other videos over and over again. Actually I'm a collegian and was here after searching "Trigonometry Application". I wanna know how trig will relate to electronics and specially signals and signal processing. By the way thanks for this very valuable stuff.
Agree. Khan academy has much more videos about more topics in science, and this channel has increidible awesome attention to detail. Both combined are great tools for learning.
I found this very interesting because at the 41:36 I can assimilate the waveform of sine as AC generator in circuits, same as cosine, and the Tangent looks like the inductor wave on the oscilloscope, now everything makes sense for me, even though the purpose of this vid wasn't similar of what I discovered, I'm thankful that I have clearance on where those things came from. Thanks, sir.
Great information , love the way you present the graphics, makes it easy to understand. Except the black color background. I think if change it to a lighter color will improve overall. Thank you for sharing your knowledge.
Could you please tell me the name of the software that you are using to display the content of your videos? I know that in Windows it is Smooth Draw but I can't tell what you are using and what the name of the software is. I am not a Mac user but this software looks excellent.
Really, Khan Academy is a wonderful school of knowledge because I learnt from it what my teacher a week or more than within minutes that is amazing thing!
Thank You for the video. It is amazingly helpful! I think in 36:43 is a little mistake in the first two lines though: it should be sin(30) = sin(pi/6) = 1/2 and cos(30) = cos(pi/6) = √3/2 right? Or am I wrong with that?
Pepper Thanks so much! I believe someone spotted this before -- you are indeed correct -- so I had added a comment in a box that pops up below the book. Does the comment in that box help?
I did not understand these terms in my life as I understood from this video, I lift my hat respecting for you and for your style in the magnificent explanation
I'm doing a course at Khan Academy they skipped the part of associating the unit circle and using root as fractual parts of a circle or it wasn't explained as clearly as you have done here. By making it messy cleared up the square root over or by a denominator. Thanks for the clear explanation. .
If you draw the vertical line X=+1 parallel Y axis present for tangent and the horizontal line Y =+1 parallel X axis present for cotangent. The 30°, 45° and 60° of the lines will meet the two new lines. That's the value of the tangent and cotangent. Please correct me if I am wrong. Thanks
Thank you SO much for posting this video!! I was looking at this like it was a foreign language before I watched it! It was very hard to find a video that did so a great job of explaining it!!
New Planet School I am still thinking about the break section and how everything is worked so that it works within the unit circle..You really explain much better than any other video I have looked at. Im 62 and doing Maths with the OU and you are a very good teacher ...thanks
Like your video. But am confused about role of x value when starting trig functions at 37:15 (theta is zero: no angle). You show (1,0) for that angle so why isn't the first dot at x = 1? Because the graph is showing values of y (sin theta) only, right? How do you get the values for x?
If you please, what software do you use to write the formulas (using a stylus, I am guessing)? I would love to be able to teach classes with the "blackboard" that you use in this presentation.
Hello Christopher. I use two methods to write the equations. If I want to do it "by hand" I write on the "blackboard" using a combination of Omnidazzle and a Wacom tablet. If I want to prepare the equation in advance and have it look very professional, I use LaTeXiT. (I have made a video that shows all of this, and I will upload it today.)
Hi. Nice video. At about minute 22:30 you convert the numbers on the left to square root of two over two, squared. I don't understand how you did this. If you multiply by the denominator you get 4 and then you should multiply the numerator by the denominator as well and you get square root of 1 squared (1) multiplied by the denominator you get 2, so 2 over 4. I'm not sure how you got it into the format that you put it in. Even though it equals the same thing.
Your comment is about as spot on as I can imagine, I just spent about an hour trying to work out how he does that even though like you I can see he gets the correct answer. I find this so confusing even your description of it, which seems like a model of clarity to me! I think he just says something like people don’t having square roots on the bottom but that’s easy to fix by just multiplying top and bottom by the square root. Then he seems to do about another ten steps without really explaining why
Thanks a lot! The part in the break made me see trigonometry in a whole new way and made me understand trigonometry than just knowing how to use it. Thanks! :D
There are many things that are not clear in this video. I watched this video with a clean slate - I know absolutely nothing about any of this. And soooo many things is this video are not defined that this video is pretty much useless to me.
Clear as mud. ‘Break time!’. Easy, fun. 1+1=2 etc. I followed that bit, but then to introduce the resulting equations onto the unit circle and announce that they represent 30, 45, 60 degrees completely bamboozled me. Why those equations, is there an equation for each individual degree? Find any point with these equations? How, what values and where? Quantum trigonometry.
Dude honestly thank you so much... Freaking teachers nowadays just want kids out of their class as fast as possible and don't explain the core concepts.
at 36.33 i i thought you had just given the the sin for pie over 6 was 1/2, this is showing the square root of 3 over 2 as the sin of pie over 6...is your video correct at 36.33, those first couple of table values look incorrect, i did not check them all..
OK, I am seriously confused on something here. At 36:31 the table shows that sin(30) = sin (pi/6) but also shows that sin(60) = sin (pi/3) but both are showing and equal value of square root 3/2 ... (sorry it is impossible to show the equations so I have to type it out. If I understand this correctly, sin(60)=sin(30)? Am I off track here? New Planet School
Aaron, you are very much on track here. You have found a mistake in the video (thanks to others who have also pointed this out). I have added a comment on that page to clear up the confusion. Thanks!!
Uhm i dont understand the fraction you did on break time. Could you do more videos about that? and btw at 35:24 how did that became 1/2? is it becoz PI is 3.14.. so its 3.14/6 simplified it to make 1/2? Your website is not working. I wish your website is working so I could ask a question there,.
Why trigonometry tables are never mentioned? In the 1960s, when I first studied trigonometry, I only had tables to work with, no calculators existed. Well, any trigonometry book has trigonometry tables. So, I answered my question.
Great Video, I like how you used a math break to try to make the concepts more intuitive. you have to be able to grasp the abstract concepts and algorithms(Patterns) or learning any form of math will be a struggle .
Ok maybe it was a cool idea to introduce these concepts during a math break and tell us how easy it was, especially as what he describes helps with the rest of the video but I found it the hardest part of the video to follow see Alex Martino's comment below.
im looking for someone whi can explain why tangent = opposite over adjacent... like i know why you have to divide the adj and the opp to hypotenuse to get the sine and cosine... but i would like to know why you have to divide the opp and adj to get the tangent
I understand everything else apart from one thing are we meant to use radians to find out the angle for trig i dont know how to get the angle in the triangle drawn in a circle??
Thanks for the question. I think there are two parts to your question. First, you ask about radians. Radians are just one set of units that you can use when you work with trigonometric functions. But, you could also use degrees, gradians, grade, minutes of arc, or any other units that make sense for you. (Look up "units of angle" on Wikipedia for more.) It is usually most convenient to use radians, but people typically talk about things in terms of degrees, which means you have to get used to converting back and forth. Luckily, that conversion is simple: 1 radian is about 57.296 degrees (360 divided by 2*pi), or one degree is 0.01745 radians. Your next question refers to finding the angle in the triangle. By this I assume you mean that you know everything (lengths of sides) except the angle, rather than knowing the angle and needing to find the lengths of the sides. In that case you need to use the inverse trigonometric functions, which should be built into your calculator. Try it for some cases for which you are sure of the answer. And, putting these two questions together, be sure that your calculator is set in the units you want to use. Very often we can get confused when we think the calculator is returning degrees when in fact it is giving us radians. Let me know if you have any further questions!
You have been able to clarify in 45 minutes something that I've struggled with for about 15 years. Thanks.
15 years?????????
but, well done =)
Teachers make us suffer too much, while we don't use that in life...1xSin(45 = hyt
Please don,t make Khan academy as the "gold standard". There are many flaws in their videos. Mostly the instructor keeps blabbering constantly going back and forth confusing the student. Whereas, this video is so clear and exquisitely explained. Fully dedicated to a topic at a time. Thank you.
+Mohan7 I agree ....I like khan as well......but these vids are thE cat's meow imo
I hope this is sarcasm. I haven't watched khan academy but this guy here cant stay on topic... so please don't say youre serious when you say this guy is dedicated to one topic at a time.
@mohan7 Jai shree Ram.
This video makes no sense. I have no idea what anyone is talking about.
@@readandrap283 watch my vid :)
It blew my mind. You're one of the best teachers I've ever seen.
That proof of how the points break the arc length into thirds is what I was searching for! You came so close to saying it then didn't!! Wonderful video nonetheless. There is some rare knowledge in it. Thank you.
Trigonomic Functions decoded.. Wow! Very impressed with the way you have taken out all the complexity from the functions, and reduced them into simple concepts that one is able to understand. You really turned our light Bulbs on!! That was powerfull!! Thanks a million for the video !!!
Often trig is taught as part of algebra, but it can also be taught as a separate course after the first algebra course; it really depends on how your instructors choose to teach it. It could be taught in a class called Algebra II, for example. Certainly trig is always taught before calculus, since trig is used and discussed in detail in all calculus courses. In summary: trig usually appears after the first algebra class but before calculus; exactly where depends on your curriculum.
The easy way to produce the unit circle is to divide a circle into 24 equal 15 degree graduations. Number these points from zero Pi to 2 Pi 0,1,2,3... then take those numbers and multiply them by Pi/12. You will have 8 extra locations on the your unit circle that you can use or throw away. The same method can be used to give you any number of equal graduations that is an even number. Just change the denominator to half that number.
I have been looking for a explication like this for more than 16 years.
16 years!
so thanks! finally a answer to wtf Sin and cos is, that did not just leave me more confused.
Best Video for trigonometry on the internet so far
This is a brilliant video! Currently I am self-teaching myself maths for the ACT, and before doing this I had never encountered trigonometric functions and the unit circle. Completely confusing is how I would describe all of the other videos/revision websites I have watched/read (in the case of videos in particular, because they fail to allow enough time to properly explain what's going on! This video, on the other hand, goes the full thousand miles!). Thank you!
Maybe someone already mentioned it but the trig identities listed at 36:32 have the x,y value backwards for sin/cos 30 degs. Sin (y) should be 1/2 and cos (x) sqrt3/2. Not a nit pick, just good of the order. Great video!
Yes, I just noticed too! Glad someone mentioned it :)
I’m a retired engineer. You explain it beautifully! Great!
I wanna say that, this is just fantastic. I have to watch this video and also your other videos over and over again.
Actually I'm a collegian and was here after searching "Trigonometry Application". I wanna know how trig will relate to electronics and specially signals and signal processing. By the way thanks for this very valuable stuff.
Love it! It is really very clear explanations and easy to understand. Thank you so much for your teaching!
This is the channel where I've learned the best from internet, next to Khan Academy.
Some of the explanations are actually better than Khan Academy !
Agree. Khan academy has much more videos about more topics in science, and this channel has increidible awesome attention to detail. Both combined are great tools for learning.
Khan accade has to much theory,, we need more solved problems.
ya u kinda get the best of both worlds when u mix those too up :)
And the Organic Chemistry tutor
I found this very interesting because at the 41:36 I can assimilate the waveform of sine as AC generator in circuits, same as cosine, and the Tangent looks like the inductor wave on the oscilloscope, now everything makes sense for me, even though the purpose of this vid wasn't similar of what I discovered, I'm thankful that I have clearance on where those things came from. Thanks, sir.
Great information , love the way you present the graphics, makes it easy to understand. Except the black color background. I think if change it to a lighter color will improve overall. Thank you for sharing your knowledge.
Could you please tell me the name of the software that you are using to display the content of your videos? I know that in Windows it is Smooth Draw but I can't tell what you are using and what the name of the software is. I am not a Mac user but this software looks excellent.
***** Sure! I get this question so often I made a video about it: th-cam.com/video/uRjHrmVESHc/w-d-xo.html
New Planet School You are a good man! Thank you!
Alin Popescu wzwzz
Really, Khan Academy is a wonderful school of knowledge because I learnt from it what my teacher a week or more than within minutes that is amazing thing!
You are a genius Sir I hope they give you credit
Thank You for the video. It is amazingly helpful! I think in 36:43 is a little mistake in the first two lines though: it should be sin(30) = sin(pi/6) = 1/2 and cos(30) = cos(pi/6) = √3/2
right? Or am I wrong with that?
Pepper Thanks so much! I believe someone spotted this before -- you are indeed correct -- so I had added a comment in a box that pops up below the book. Does the comment in that box help?
New Planet School Thank You! I have just seen it!
This is the best video I've ever seen! Hats off!
I did not understand these terms in my life as I understood from this video, I lift my hat respecting for you and for your style in the magnificent explanation
Thank you, Kevin! Good luck in your math studies; math is truly amazing!
I'm doing a course at Khan Academy they skipped the part of associating the unit circle and using root as fractual parts of a circle or it wasn't explained as clearly as you have done here. By making it messy cleared up the square root over or by a denominator. Thanks for the clear explanation.
.
I'm not sure if you mentioned your name on the video somewhere... But just wanted to let you know, YOU ARE THE MAN!
wow you blew my mind about 3 times and now i understand nearly all of this clearly making all my homework that much easier thank so much!
If you draw the vertical line X=+1 parallel Y axis present for tangent and the horizontal line Y =+1 parallel X axis present for cotangent. The 30°, 45° and 60° of the lines will meet the two new lines. That's the value of the tangent and cotangent. Please correct me if I am wrong. Thanks
I like the way break the information and made understandable in easy manner, thanks for wonderful lecture
Thank you SO much for posting this video!! I was looking at this like it was a foreign language before I watched it! It was very hard to find a video that did so a great job of explaining it!!
i wish you could make a video on the material covered during the break. in more detail , it was very interesting
What aspect of that section did you find most interesting?
New Planet School I am still thinking about the break section and how everything is worked so that it works within the unit circle..You really explain much better than any other video I have looked at. Im 62 and doing Maths with the OU and you are a very good teacher ...thanks
This is a great video i saw in my live for explanation of a unit circle , thank you so much
You single handedly saved my AP Pre Cal grade
Well done. What software are you using?
Thanks! You can see how these videos are made by going to my TH-cam Channel and watching the video "Making New Planet School Videos".
Found it! Many thanks.
Thank you so much for this video! Math actually made me smile!
Superb! Thanks a lot! I always used to wonder this in my school but none could explain it!
alot better then khan acadomy trig videos but i still am fuzzy on some things will just have to keep watching till i get it
This is the best lesson online. Well explained .
This video helped in heaps! More like these please . . .
This video is absolutely FANTASTIC! I learned so much! I will watch it again!
how did you get the coordinate pairs?...the value that you gave for one coordinate of unit circle can be placed on any other point correct?
Like your video. But am confused about role of x value when starting trig functions at 37:15 (theta is zero: no angle). You show (1,0) for that angle so why isn't the first dot at x = 1? Because the graph is showing values of y (sin theta) only, right? How do you get the values for x?
Amazing! It should be taught like this in schools.
If you please, what software do you use to write the formulas (using a stylus, I am guessing)? I would love to be able to teach classes with the "blackboard" that you use in this presentation.
Hello Christopher. I use two methods to write the equations. If I want to do it "by hand" I write on the "blackboard" using a combination of Omnidazzle and a Wacom tablet. If I want to prepare the equation in advance and have it look very professional, I use LaTeXiT. (I have made a video that shows all of this, and I will upload it today.)
Thank you for the kindness of your response.
Christopher Lucas I have uploaded the new video called "Making New Planet School Videos" that has even more information.
Super! I'll check it out and thank you again.
New Planet School
I am taking Trig in the Fall, and I am now over excited to get started :-)
Thank you so much. Very good lesson.
How did you get PI/4 when the point is between PI/2 and 0? Meaning at 45deg?
Great video!!!!
Really whip smart and simple! I am thrilled
I only needed to watch 3 minutes. I fell in love with that circle. Subscribed!
Best explanation i had ever seen 😍😍😍
Thank you sir 🥰
Superb thanks. Now to teach my daughter.
Hi. Nice video. At about minute 22:30 you convert the numbers on the left to square root of two over two, squared. I don't understand how you did this. If you multiply by the denominator you get 4 and then you should multiply the numerator by the denominator as well and you get square root of 1 squared (1) multiplied by the denominator you get 2, so 2 over 4. I'm not sure how you got it into the format that you put it in. Even though it equals the same thing.
Your comment is about as spot on as I can imagine, I just spent about an hour trying to work out how he does that even though like you I can see he gets the correct answer.
I find this so confusing even your description of it, which seems like a model of clarity to me!
I think he just says something like people don’t having square roots on the bottom but that’s easy to fix by just multiplying top and bottom by the square root. Then he seems to do about another ten steps without really explaining why
Thanks a lot! The part in the break made me see trigonometry in a whole new way and made me understand trigonometry than just knowing how to use it. Thanks! :D
Glad it helped! Good luck!
***** You didn't saw?
Nice. Out of curiosity, what's your ethnicity?
Verry good lecture Thanks
good example and explanation. But when you make the coordinate pairs.. it is not clear how you get each value...
Abdul Wardhere he takes a unit circle..
and unit circle has one unit radius✓
There are many things that are not clear in this video. I watched this video with a clean slate - I know absolutely nothing about any of this. And soooo many things is this video are not defined that this video is pretty much useless to me.
Clear as mud.
‘Break time!’.
Easy, fun. 1+1=2 etc.
I followed that bit, but then to introduce the resulting equations onto the unit circle and announce that they represent 30, 45, 60 degrees completely bamboozled me. Why those equations, is there an equation for each individual degree?
Find any point with these equations? How, what values and where? Quantum trigonometry.
thank you so much!..your examples and explications is really good..i like it..continue t
Good explanations...
Dude honestly thank you so much... Freaking teachers nowadays just want kids out of their class as fast as possible and don't explain the core concepts.
THIS IS SO DETAILED :) I LOVE IT.
at 36.33 i i thought you had just given the the sin for pie over 6 was 1/2, this is showing the square root of 3 over 2 as the sin of pie over 6...is your video correct at 36.33, those first couple of table values look incorrect, i did not check them all..
OK, I am seriously confused on something here. At 36:31 the table shows that sin(30) = sin (pi/6) but also shows that sin(60) = sin (pi/3) but both are showing and equal value of square root 3/2 ... (sorry it is impossible to show the equations so I have to type it out. If I understand this correctly, sin(60)=sin(30)? Am I off track here? New Planet School
Aaron, you are very much on track here. You have found a mistake in the video (thanks to others who have also pointed this out). I have added a comment on that page to clear up the confusion. Thanks!!
good and helpful enough
this is very useful for me so thanks
very clearly explained
What apps do you use to make your videos?
Can you tell me the software you used for teaching
how did you come up with 1/2?RE: cosine?? Doesnot equal this. Unless im missing something
this was great!! please continue to making these videos!!
Thank you! Will do!
41:07 you go around twice, which is 4 pi.
Thank you so much. This video is very good.
which software are you using
Excellent
Thank you! I finally actually get why the trig rules are the way they are. 5 stars!
Hello what board are you using?
I love the way you explain it so easily
loved this...
Uhm i dont understand the fraction you did on break time. Could you do more videos about that? and btw at 35:24 how did that became 1/2? is it becoz PI is 3.14.. so its 3.14/6 simplified it to make 1/2? Your website is not working. I wish your website is working so I could ask a question there,.
Why trigonometry tables are never mentioned? In the 1960s, when I first studied trigonometry, I only had tables to work with, no calculators existed. Well, any trigonometry book has trigonometry tables. So, I answered my question.
the value of Pi
in this module of your's about trignometry is equal to 180 degree??
WOW fantastic. Really well explained. Thank you for the effort!
isnt that crazy how the lesson during the break, happened to perfectly relate to the (x,y)=1 lesson on the unit circle. wow!
Great Video, I like how you used a math break to try to make the concepts more intuitive. you have to be able to grasp the abstract concepts and algorithms(Patterns) or learning any form of math will be a struggle .
Ok maybe it was a cool idea to introduce these concepts during a math break and tell us how easy it was, especially as what he describes helps with the rest of the video but I found it the hardest part of the video to follow see Alex Martino's comment below.
what is the value of radius then? radius= 1.....how nany inside the unit circle?
I like it, but are there not 6.28 radians to the unit circle?
lol
you can also go by this phrase to remember Soh-Cah-Toa ( Some Old Hippie- Caught Another Hippie- Tripping On Acid)
Muy buen video :3
36:41 Mistake
Sin 30° = 1/2
Cos 30° = √3/2
Thank you :) Very helpful.
After college algebra, one goes to? trig or pre cal?
Brilliant, thank you!
Thanks for the video, New Planet School!
+Learn Maths Free _Thanks for stopping by!_
How do you calculate 7pi/12?
im looking for someone whi can explain why tangent = opposite over adjacent... like i know why you have to divide the adj and the opp to hypotenuse to get the sine and cosine... but i would like to know why you have to divide the opp and adj to get the tangent
The wasted years of my youth while sitting in class rooms is distressing. Surely, it is time to abolish schooling based on the factory model..
thoroughly explained. thank you.
That was a top grade video...
I understand everything else apart from one thing are we meant to use radians to find out the angle for trig i dont know how to get the angle in the triangle drawn in a circle??
Thanks for the question. I think there are two parts to your question. First, you ask about radians. Radians are just one set of units that you can use when you work with trigonometric functions. But, you could also use degrees, gradians, grade, minutes of arc, or any other units that make sense for you. (Look up "units of angle" on Wikipedia for more.) It is usually most convenient to use radians, but people typically talk about things in terms of degrees, which means you have to get used to converting back and forth. Luckily, that conversion is simple: 1 radian is about 57.296 degrees (360 divided by 2*pi), or one degree is 0.01745 radians. Your next question refers to finding the angle in the triangle. By this I assume you mean that you know everything (lengths of sides) except the angle, rather than knowing the angle and needing to find the lengths of the sides. In that case you need to use the inverse trigonometric functions, which should be built into your calculator. Try it for some cases for which you are sure of the answer. And, putting these two questions together, be sure that your calculator is set in the units you want to use. Very often we can get confused when we think the calculator is returning degrees when in fact it is giving us radians. Let me know if you have any further questions!
New Planet School Thank you!
Pr0G4m3R4u Subbed!
thank you sir....i learnt quite alot
fantastic
So the angles are measured in terms of pi??????