Trigonometry - Free Formula Sheet: bit.ly/47diggI Final Exams and Video Playlists: www.video-tutor.net/ Trigonometry - Basic Introduction: th-cam.com/video/g8VCHoSk5_o/w-d-xo.html Trigonometry Final Exam Review: th-cam.com/video/OAsbx4TEnL0/w-d-xo.html
I had a whole mental breakdown and a half over trigonometry and I swear your videos gave me a peace of mind I never thought I'd have, thank you so much :)))
Hey, I just wanted to thank you for all the effort you put into making the videos, I especially loved the Org. Chemistry ones, you break things down very nicely and make them plain and simple. I've been wondering, what was your major, where did you study? Maybe you'd like to do a Q&A sometime, I'm sure there'd be people who'd love to watch it! Cheers from Ukraine & Poland :)
For calculating in degrees, my teacher gave me this formula: S=rθπ/180° But I find yours much more easier to remember: S=(θ/360°) 2πR I guess it's just a method of dividing, but this formula cleared my concept, so thanks!😊
the only way to help this guy back is to watch the ads that popping out on his video and I'm going to write this comment to all of his video for you to know you can help him back by just watching his ads
I flippin love this dude i never paid attention in my additional mathematics class for this topic, I jus switched on this vid and they explained everything in 16mins my teacher said in an hour and 20 mins
Just found your channel and couldn’t be more happier because you literally just blessed me for a last second study session because I really was not prepared for a quiz that I was going to have till I found your channel so big thanks to you. 💯
You are a saint my friend. I wish nothing but the best for you in all your endeavors. You’ve helped me and more people than I can count understand concepts they previously struggled with and all in all have made this world a better place. God bless
Thanks SO much for this.. I had an emergency assessment to turn in and i wasn't paying attention in class when this was going on...YOU REALLY SAVED MA LIFE TODAY
When i am searching for help on youtube about any consept, if there is your video i know that i will understant and it will be really clear ❤ thank you my lovely teacher
I’m having a mental breakdown. One of my problems says a circle has an arc lenght of 13 feet that is intercepted by a central angle of pie radians. What is the circumference of the circle?
God bless your heart fr! i was really struggling with the basics of circles because my professor has this long, extra, and difficult way of getting the arc lengths, or radians or degrees and you just made it so simple for me! i really appreciate it
The conversion to degrees at 10:10 - how come you didn't multiply by 360/2π ? I'm confused because I can see how the twos then cancel to get the formula. Definitely being thick here
Many people wonder why radians do not appear when we have radians*meters (rad • m). Here is an attempt at an explanation: Let s denote the length of an arc of a circle whose radius measures r. If the arc subtends an angle measuring β = n°, we can pose a rule of three: 360° _______ 2 • 𝜋 • r n° _______ s Then s = (n° / 360°) • 2 • 𝜋 • r If β = 180° (which means that n = 180, the number of degrees), then s = (180° / 360°) • 2 • 𝜋 • r The units "degrees" cancel out and the result is s = (1 / 2) • 2 • 𝜋 • r s = 𝜋 • r that is, half of the circumference 2 • 𝜋 • r. If the arc subtends an angle measuring β = θ rad, we can pose a rule of three: 2 • 𝜋 rad _______ 2 • 𝜋 • r θ rad _______ s Then s = (θ rad / 2 • 𝜋 rad) • 2 • 𝜋 • r If β = 𝜋 rad (which means that θ = 𝜋, the number of radians), then s = (𝜋 rad / 2 • 𝜋 rad) • 2 • 𝜋 • r The units "radians" cancel out and the result is s = (1 / 2) • 2 • 𝜋 • r s = 𝜋 • r that is, half of the circumference 2 • 𝜋 • r. If we take the formula with the angles measured in radians, we can simplify s = (θ rad / 2 • 𝜋 rad) • 2 • 𝜋 • r s = θ • r where θ denotes the "number of radians" (it does not have the unit "rad"). θ = β / (1 rad) and θ is a dimensionless variable [rad/rad = 1]. However, many consider θ to denote the measure of the angle and for the example believe that θ = 𝜋 rad and radians*meter results in meters rad • m = m since, according to them, the radian is a dimensionless unit. This solves the problem of units for them and, as it has served them for a long time, they see no need to change it. But the truth is that the solution is simpler, what they have to take into account is the meaning of the variables that appear in the formulas, i.e. θ is just the number of radians without the unit rad. Mathematics and Physics textbooks state that s = θ • r and then θ = s / r It seems that this formula led to the error of believing that 1 rad = 1 m/m = 1 and that the radian is a dimensionless derived unit as it appears in the International System of Units (SI), when in reality θ = 1 m/m = 1 and knowing θ = 1, the angle measures β = 1 rad. In the formula s = θ • r the variable θ is a dimensionless variable, it is a number without units, it is the number of radians. When confusing what θ represents in the formula, some mistakes are made in Physics in the units of certain quantities, such as angular speed. My guess is that actually the angular speed ω is not measured in rad/s but in (rad/rad)/s = 1/s = s^(-1).
9:30 The solution you gave to this problem seems overcomplicated. You can just directly express the measure of the right angle in radians and plug it into the first formula. I mean, you wrote that formula down yourself. I can only really think of one reason you didn't do this, which is that you're worried about radians being confusing; however, students are going to have to learn to deal with radians anyway, and this would've been good practice. Of course, there's a tried-and-true method to counteract the confusingness of radians: use τ. τ is the ratio of a circle's circumference to its radius, about 6.28 and equal to 2π. How many radians is 1/12 of a full turn? τ/12. What about 1/8 turn? τ/8. What about 1/6 turn? τ/6. Using this has helped drastically reduce confusion about radians for some students. In our case, the measure of a right angle is a quarter-turn, which is τ/4 radians. Now we use the formula: A = (1/2)(τ/4)10^2 = 100τ/8 = 25τ/2 cm^2 Or, if you prefer: = 25π cm^2 And we are done.
Hello, I am a geometry math teacher who is now needing to create videos for my students while doing distance learning through remote teaching. I am wanting to create videos similar to this for them however I do not know what software to use. What do you use or recommend?
hi there, if I have the measurement from A to B and one more measurement from the center of a and b to the outer edge of circle "s" Am I able to at least get the length of the arc? And then therefore will I be able to figure out how large my circle will be? I do not have a radius. A+B= 10-10/16" D+ "F"= 2" Any help would be amazing. I'm building a large wheel for a project my grandson and I are making. A large hamster wheel, large enough for cat 😂 thank you in advance. Be well
![Radians, Arc Length & Sector Area of a Circle - [2-21-1]](http://i.ytimg.com/vi/lcuxPNBXhlY/mqdefault.jpg)
![Radians, Arc Length & Sector Area of a Circle - [2-21-1]](/img/tr.png)
Trigonometry - Free Formula Sheet: bit.ly/47diggI
Final Exams and Video Playlists: www.video-tutor.net/
Trigonometry - Basic Introduction: th-cam.com/video/g8VCHoSk5_o/w-d-xo.html
Trigonometry Final Exam Review: th-cam.com/video/OAsbx4TEnL0/w-d-xo.html
I had a whole mental breakdown and a half over trigonometry and I swear your videos gave me a peace of mind I never thought I'd have, thank you so much :)))
*It be like that tho*
Wow, I thought I'm the only one who does that. 😂
trig is easy
@@zephyr1327 then why are you here
Same trig is annoying but if you want to pass you have to do it
you literally teach better than all my teachers, I always come here if I can't understand a topic at school
thank you for helping me every single time
BP EASY TECH so wholesome! Sorry about your teachers. I can relate.
FACTS
fax
My math and chemistry exams are sponsored by you, you’re a lifesaver. God bless you.💙💙💙
Jj
@@sobrankewat6138 ju
Lmao
haha
those who watched and learn from this guy's videos should always hit the like button. He deserves to get paid more from youtube
Hey, I just wanted to thank you for all the effort you put into making the videos, I especially loved the Org. Chemistry ones, you break things down very nicely and make them plain and simple. I've been wondering, what was your major, where did you study? Maybe you'd like to do a Q&A sometime, I'm sure there'd be people who'd love to watch it!
Cheers from Ukraine & Poland :)
Ur in two countries at the same time
@@lereverse1998 💀💀💀
@@lereverse1998 he lives on the border
Yeah and also what is his current job.
@@lereverse1998😂😂😂
The number of people this man has helped graduate is unreal
This guy's going to get me
through pre-calc
For calculating in degrees, my teacher gave me this formula:
S=rθπ/180°
But I find yours much more easier to remember:
S=(θ/360°) 2πR
I guess it's just a method of dividing, but this formula cleared my concept, so thanks!😊
I actually understand this when this guy explains it
Tie E exactly
My teacher did 1 problem as fast as he could and said ok do the homework then sat down and watched basketball...
Bruh.
are you home schooled?
Mr. Brazil crazy fr fr
This is all of my online classes
Don’t even get me started on my math teacher (why I’m here)
Who is here a night before exams?
Was here for Geometry, and now back for the SAT, Thank you so much.
Your voice is so calming I literally fall asleep every time
That's not a good thing.... Right?
the only way to help this guy back is to watch the ads that popping out on his video and I'm going to write this comment to all of his video for you to know you can help him back by just watching his ads
I can't believe God can use you to answer my prayers.......maths see you on Monday ❤❤❤❤❤
I flippin love this dude i never paid attention in my additional mathematics class for this topic, I jus switched on this vid and they explained everything in 16mins my teacher said in an hour and 20 mins
I'm more amazed by all the canceling lol and how you simplify it.
Currently prepping this for my online test thanks so much, wish me luck 👍🏽👍🏽
WHO ASKED + MY CONTENT IS WAY BETTER + UTTP IS WAY BETTER THAN MATHS 😂😂
WHO ASKED + MY CONTENT IS WAY BETTER + UTTP IS WAY BETTER THAN MATHS 😂😂
Just found your channel and couldn’t be more happier because you literally just blessed me for a last second study session because I really was not prepared for a quiz that I was going to have till I found your channel so big thanks to you. 💯
You are a saint my friend. I wish nothing but the best for you in all your endeavors. You’ve helped me and more people than I can count understand concepts they previously struggled with and all in all have made this world a better place. God bless
WHO ASKED + MY CONTENT IS WAY BETTER + UTTP IS WAY BETTER THAN MATHS 😂😂
WHO ASKED + MY CONTENT IS WAY BETTER + UTTP IS WAY BETTER THAN MATHS 😂😂
his vids literally teach better than every math teacher that I've met
Thanks SO much for this.. I had an emergency assessment to turn in and i wasn't paying attention in class when this was going on...YOU REALLY SAVED MA LIFE TODAY
You are one of the few to make it easy ! Go ahead keep doing it you are helping so many students
thanks i watch your vids on quarantine they are awesome man!!!
MR. Organic Chemistry Tutor, thank you for another awesome lecture on finding the Area and Arc Length of a Circle in Trigonometry.
Dude you are a great teacher! This is really helping my ACT Math knowledge
Once I struggled to something on math I instantly go to your channel
I’m going to be honest a lot of math is not going to be useful to you in the long run but knowing this can help you get through school thank you
Thank you so much! If only my teacher could've explained it like this!
thanks i use your math videos to fall asleep
*cool.*
yes
exbrт Liberal
Here to study for my Pre-Cal quiz tomorrow thank you so much !
This channel is a life saver!!
WHO ASKED + MY CONTENT IS WAY BETTER + UTTP IS WAY BETTER THAN MATHS 😂😂
WHO ASKED + MY CONTENT IS WAY BETTER + UTTP IS WAY BETTER THAN MATHS 😂😂
I sat through a 90min pre calc class confused as fuck. Watched this for 5 minutes and I get it
dont delete your channel i need all your vids till college
keep posting new vids i love em
he puts them on patreon
I really appreciate this guy . Love this man !
When i am searching for help on youtube about any consept, if there is your video i know that i will understant and it will be really clear ❤ thank you my lovely teacher
I'm genuinely failing trig. Thanks for much for helping me get by
sometimes i dont pay attention claas and then i just come to yuor channel an i ace my assignmentss THANK YOUUU!
Bro this video is actually so helpful, u are the best!!
who else is watching this during quarantine?
GGgamerplayz Gaming ME 😔😔😔
thanks bro nice explanation love from india
I’m having a mental breakdown. One of my problems says a circle has an arc lenght of 13 feet that is intercepted by a central angle of pie radians. What is the circumference of the circle?
Hi There, to the 10:00mn position, why do we use 1/2 and what is the meaning of 1/2? thanks in advance
I understood it using the formula of the area of a triangle.
Honestly l think by now your really aware that your the best, you always make things so simple for us students
In the formula
Acs = (1 / 2) • θ • r^2
the θ denotes the number of radians (it does not have the unit "rad").
God bless your heart fr! i was really struggling with the basics of circles because my professor has this long, extra, and difficult way of getting the arc lengths, or radians or degrees and you just made it so simple for me! i really appreciate it
Thanks helped me a bunch learned something useful in the very first minute :)
I wish you were my teacher, completely a life savior 😚
The conversion to degrees at 10:10 - how come you didn't multiply by 360/2π ? I'm confused because I can see how the twos then cancel to get the formula. Definitely being thick here
in 10:27 why is the pi not equal to 180 degress ?????????
thank you for these videos! they help us out so much
Thank you from Houston, Texas!!!
@organic chemistry I think you got your formula wrong, you wrote (theta/360)*πr^2 but shouldn't it be (π/360)*theta*r^2 at 10:27
@@jelly_blue oh sorry I didn't see that, Thank you
OMG MY TEACHER CANNOT TEACH N THIS HELPED ME SO MUCHHCH
I can not thank you enough for this lesson.
thank you math daddy
You should honestly be nominated for a noble prize
This is a step to break down the basics..... other times it can boggle the mind.
Ok so am i the only one who still can't understand😭
I think yes
dude you are a savior thank you
Just want to thank you, you helped me pass calculus :D
Can i ask why did you break down the 3 x 12? 6:30
3:49 why is this method way easier to understand then the one my teacher taught us.
Like I prefer this over measure of arc/360 • 2 (pi)r
this helped me sm. thank you! subscribed too!!
Hello, just a question, why do you use radian form always instead of degree form?
Idk how to explain it but the formula only works when the arc degree measure is in radians.
The Organic Chemistry Teacher, how can I find the radius if I am only given the perimeter and theta?
Many people wonder why radians do not appear when we have radians*meters (rad • m).
Here is an attempt at an explanation:
Let s denote the length of an arc of a circle whose radius measures r.
If the arc subtends an angle measuring β = n°, we can pose a rule of three:
360° _______ 2 • 𝜋 • r
n° _______ s
Then
s = (n° / 360°) • 2 • 𝜋 • r
If β = 180° (which means that n = 180, the number of degrees), then
s = (180° / 360°) • 2 • 𝜋 • r
The units "degrees" cancel out and the result is
s = (1 / 2) • 2 • 𝜋 • r
s = 𝜋 • r
that is, half of the circumference 2 • 𝜋 • r.
If the arc subtends an angle measuring β = θ rad, we can pose a rule of three:
2 • 𝜋 rad _______ 2 • 𝜋 • r
θ rad _______ s
Then
s = (θ rad / 2 • 𝜋 rad) • 2 • 𝜋 • r
If β = 𝜋 rad (which means that θ = 𝜋, the number of radians), then
s = (𝜋 rad / 2 • 𝜋 rad) • 2 • 𝜋 • r
The units "radians" cancel out and the result is
s = (1 / 2) • 2 • 𝜋 • r
s = 𝜋 • r
that is, half of the circumference 2 • 𝜋 • r.
If we take the formula with the angles measured in radians, we can simplify
s = (θ rad / 2 • 𝜋 rad) • 2 • 𝜋 • r
s = θ • r
where θ denotes the "number of radians" (it does not have the unit "rad").
θ = β / (1 rad)
and θ is a dimensionless variable [rad/rad = 1].
However, many consider θ to denote the measure of the angle and for the example believe that
θ = 𝜋 rad
and radians*meter results in meters
rad • m = m
since, according to them, the radian is a dimensionless unit. This solves the problem of units for them and, as it has served them for a long time, they see no need to change it. But the truth is that the solution is simpler, what they have to take into account is the meaning of the variables that appear in the formulas, i.e. θ is just the number of radians without the unit rad.
Mathematics and Physics textbooks state that
s = θ • r
and then
θ = s / r
It seems that this formula led to the error of believing that
1 rad = 1 m/m = 1
and that the radian is a dimensionless derived unit as it appears in the International System of Units (SI), when in reality
θ = 1 m/m = 1
and knowing θ = 1, the angle measures β = 1 rad.
In the formula
s = θ • r
the variable θ is a dimensionless variable, it is a number without units, it is the number of radians.
When confusing what θ represents in the formula, some mistakes are made in Physics in the units of certain quantities, such as angular speed.
My guess is that actually the angular speed ω is not measured in rad/s but in
(rad/rad)/s = 1/s = s^(-1).
hello sir,
is there a video for area of irregular shape in a circle or area between two circles
I wish this man could understand the sheer impact he has on my gpa
God bless u bro
i hope yah continue teaching us... i appreciate it much personally all your videos
at 10:36, why and how does theta become the angle in degrees?
9:30 The solution you gave to this problem seems overcomplicated. You can just directly express the measure of the right angle in radians and plug it into the first formula. I mean, you wrote that formula down yourself. I can only really think of one reason you didn't do this, which is that you're worried about radians being confusing; however, students are going to have to learn to deal with radians anyway, and this would've been good practice.
Of course, there's a tried-and-true method to counteract the confusingness of radians: use τ. τ is the ratio of a circle's circumference to its radius, about 6.28 and equal to 2π. How many radians is 1/12 of a full turn? τ/12. What about 1/8 turn? τ/8. What about 1/6 turn? τ/6. Using this has helped drastically reduce confusion about radians for some students.
In our case, the measure of a right angle is a quarter-turn, which is τ/4 radians. Now we use the formula:
A = (1/2)(τ/4)10^2
= 100τ/8
= 25τ/2 cm^2
Or, if you prefer:
= 25π cm^2
And we are done.
Thankyou tutor you helped me alot
Nice 👌😊
You really helped me a lot, thanks by the way.
am i the only one who watches this as an
AMSR
U have everything!
Can you make a video finding area and arc length of polar coordinates , thanks
I wish you showed how to get the radius if given the area of a sector and theta.
After watching this video few moments later l went to write a test guess how much l got? 99/100❤
With this guy forward we are going
Damm any way you can help me??
With?
@@bigmanthendo1743 understanding linear and angular velocity I'm having a really hard time
Is this guy not covering them?
What if theta and s are given but not r?
I want to cry so bad cause you helped me so muchhhh
In India we learn this in 10th grade [15yrs] and we do not call it trigonometry🤣😂
BUT TO BE HONEST GREAT WORK
ur not that guy pal I learned it at 9th grade
Hello, I am a geometry math teacher who is now needing to create videos for my students while doing distance learning through remote teaching. I am wanting to create videos similar to this for them however I do not know what software to use. What do you use or recommend?
I don't think he would see a comment on a video this old, you might have more luck asking on a newer video.
Bleach Smoothie thank you:)
currently sitting in homeroom panicking
This sounds like Jonah Marais from Why Don’t We!!
You are amazing dude
Much better 🎉
hi there, if I have the measurement from A to B and one more measurement from the center of a and b to the outer edge of circle "s"
Am I able to at least get the length of the arc? And then therefore will I be able to figure out how large my circle will be? I do not have a radius.
A+B= 10-10/16"
D+ "F"= 2"
Any help would be amazing. I'm building a large wheel for a project my grandson and I are making. A large hamster wheel, large enough for cat 😂 thank you in advance. Be well
Plz plz teach about calculating major segment and minor segment plz. I tried but I failed to calculate it
I love you so much
That's awesome my tutor
Really infuriating because no video seems to do this WITHOUT being given a radius....
Okay, what other measurements are you given?
Thank you
I'm relearning this just for the heck of it. Messed up at 14:30 bc I put 60 degrees as pi/6 instead of pi/3 😅
but who asked?
Really infuriating because no one seems to have any video on how to do this WITHOUT a given radius.... bro
Did you really just repeat what the chronologically preceding comment said almost verbatim? What form of trickery is this?
@ I’m a wizard. I remember this lol, trig was such a pain back then
Thank you, dude