I am grateful I found this video I have been searching all over the internet for this piece of information I found it here. The explanation is clear cut and simplistic. I have seen teachers who make students mug up the values and facts and I am the student who is very conceptual I need to know the basis of how things were formed, only then I can understand the whole theory. It is really important to have depth than learning something in a shallow way. Teachers like you are keeping me from losing faith in the Indian education system. Thank you for making this video. :) Subscribed.
Fantastic explanation 🙏🙏🙏 sir , you have expressed the ratios not only in a theoretical way , but ! infact literally physically ? You have moved around the unit circle expressing every sine n cosine of the angle theta falling in the respective quadrants reflecting the negative n positive sign 👍👍👍 beautiful video demonstrated to all beginners to understand trigonometry with absolute n complete confidence and not memorised like a parrot 🙏🙏🙏🙏 thank you sir 🙏 God bless you 🙏
Thank you beta for your kind words. Very pleased to know that the video helped you to understand the concept better. Please watch other videos also. Please subscribe and share. Wish you all the best 👍☺️❤️🙏
Thank you beta. Very pleased to know that video helped you to understand the concept better. Please share with your friends and subscribe. Please check the playlists. Wish you all the best 👍☺️❤️
Thankyou so much sir I am searching the proof of alied angles of trigonometry in youtube for 2 days 👍👍👍👍👍👍👍 Edit- sir 1Q? Sir this theta is an acute angle
Thanks for asking. Let me try. The green right triangle is obtained by rotating the orange triangle. Let a point (a,b) be in first quadrant of a unit circle and it makes an angle theta with positive direction of x-axis in anti-clockwise direction. Therefore Cos theta = a and Sin theta = b In first quadrant if a point is making angle 90- theta with positive direction of x-axis in anti-clockwise direction, then it is given by (b,a). So, Cos(90- theta) = b and Sin (90-theta) = a Now reflection of this point in X - axis is (b, -a) and the angle it makes with positive direction of x-axis in anti-clockwise direction is 270+ theta. So, Cos(270+theta) = b = Sin theta and Sin (270 + theta) = - a = - Cos theta Hope this helps. Please do let me know.
My thoughts.. If theta is obtuse then it is between 90 and 180 degrees. Let us take theta equal to 90 + alpha where alpha is an acute angle. Now LHS = sin(90 + theta ) = sin (180+ alpha) = - sin alpha. RHS = cos theta = cos (90 + alpha ) = - sin alpha. So, LHS = RHS. Please let me know your opinion on this solution. 👍😊
I am grateful I found this video I have been searching all over the internet for this piece of information I found it here. The explanation is clear cut and simplistic. I have seen teachers who make students mug up the values and facts and I am the student who is very conceptual I need to know the basis of how things were formed, only then I can understand the whole theory. It is really important to have depth than learning something in a shallow way. Teachers like you are keeping me from losing faith in the Indian education system. Thank you for making this video. :) Subscribed.
🙏🏻🙏🏻🙏🏻❤️
Lot of thanks Sir. Really those who are watching this video given by you is very lucky. Thanks for sharing Sir. Great
❤🙏🏼
You will never understand how this helped me thank You!!
Thank you!!
Very happy to know that the video helped you to understand the concept better.
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audio and video are good....thank you so much ...
Excellent👏👏👏 very clear explanation 👍 Thanks a lot Sir
I like the way you say
a = yey
x = yex
This completely consolidated my understanding of reference angles. Been searching RUclips for something like this for days. Legend
Good explanation sir .
Fantastic explanation 🙏🙏🙏 sir , you have expressed the ratios not only in a theoretical way , but ! infact literally physically ? You have moved around the unit circle expressing every sine n cosine of the angle theta falling in the respective quadrants reflecting the negative n positive sign 👍👍👍 beautiful video demonstrated to all beginners to understand trigonometry with absolute n complete confidence and not memorised like a parrot 🙏🙏🙏🙏 thank you sir 🙏 God bless you 🙏
Thank you beta for your kind words.
Very pleased to know that the video helped you to understand the concept better. Please watch other videos also.
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Thank u so much for this trick sir , no one can't explain this logic clearly like u sir
Thank you beta. My pleasure.
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Very logical and simple way !Good for all student .
Really you are genius. ....
Thank you beta.
I am not, but i will take it :)
Superb, Sir.Thanks a lot.
Thank you sir you solved my doubt you have brilliant mind thank you very much sir 😍😍😍😍😍😍
👍😊❤️🙏🏼🙏🏼🙏🏼
Super sir excellent explanation sir
Thank you sir
This video helps me to do my project
The future needs this important lecture
🙏🙏🙏🙏🙏.
Thank you.❤
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thank u very much. i wish you long healthy life
fire fighter, 🙏.
God bless you.
Thank you.
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Me too
Thank you. I couldn’t find an English video
Thank you very much..
Well done (and a clear improvement on your initial attempt where you had trouble with the volume, though I was still able to follow you)
Excellent...
Thank u very much sir for explaining in a simplest way. U have made a tough topic easiest by the simple trick. Thank u sir♥️♥️♥️♥️👌👌👌👌
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Amazing sir 🙏
Really Grateful to you, Sir.
🙏🏼❤👍😊
I am a bipc student
Even I too understood sir
Thanks a lot 🙏
Love you sir. Thank you sir...
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Very well explained
Thank you beta. Very pleased to know that video helped you to understand the concept better.
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very useful for my officials today bro dx
It is very usefull
A very helpful video. Thanks a lot.
girdhari sharma, Thank you :)
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Thanks sir
Thank you beta.
Wish you all the best :)
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Be safe❤️
Thankyou so much sir I am searching the proof of alied angles of trigonometry in youtube for 2 days 👍👍👍👍👍👍👍
Edit- sir 1Q? Sir this theta is an acute angle
Thank you.
Yes.👍
@@JatheenVarmaBuddharaju lakin sir agar theta obtuse angle langa tabhi ye identity shi answer deti hai kaisa ????????
Sir please explain 🥺🥺🥺🥺🥺🥺🥺🥺
@@JatheenVarmaBuddharaju please explain better sir
Why sin(270+x)=-a
Thanks for asking. Let me try.
The green right triangle is obtained by rotating the orange triangle.
Let a point (a,b) be in first quadrant of a unit circle and it makes an angle theta with positive direction of x-axis in anti-clockwise direction.
Therefore Cos theta = a and Sin theta = b
In first quadrant if a point is making angle 90- theta with positive direction of x-axis in anti-clockwise direction, then it is given by (b,a).
So, Cos(90- theta) = b and Sin (90-theta) = a
Now reflection of this point in X - axis is (b, -a) and the angle it makes with positive direction of x-axis in anti-clockwise direction is 270+ theta.
So, Cos(270+theta) = b = Sin theta
and Sin (270 + theta) = - a = - Cos theta
Hope this helps. Please do let me know.
Thank you sir
Thank you beta.
Wish you all the best.
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How about Tangent,Cotangent,Cosecant and Secant functions?
Benedict Tam, thanks for asking.
At 16:00 , it was explained that the logic works for all trig ratios.
Sec Cosec
Tan Cot.
Hope this helps :)
Thx Anyway :)
sir thanks a lot.
papon roy,
My pleasure.
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thank you sir
I didn't understand at 11:31 sir 😟
Prove Sin (90+(θ)) = cos (θ) if(θ) is obtuse angle 💯💯💯💯💯💯💯💯💯💯
My thoughts..
If theta is obtuse then it is between 90 and 180 degrees. Let us take theta equal to 90 + alpha where alpha is an acute angle.
Now LHS = sin(90 + theta ) = sin (180+ alpha) = - sin alpha.
RHS = cos theta = cos (90 + alpha ) = - sin alpha.
So, LHS = RHS.
Please let me know your opinion on this solution. 👍😊
Good explanation but sir proof with the help of unit circle taking (θ) obtuse 💯💯💯💯💯💯💯
🙏
Why you take hypotenuse 1 why??????? What reason only 1 explain
Thanks for asking :)
Just for simplicity. Generally we take unit circle.
You can take any radius, the result will be the same.
Totally wrong
Thank you for.your feedback. Can you be please more specific