![Vidéo de question : Simplification des expressions trigonométriques à l'aide d'identités à double angle | Nagwa Vidéo de question : Simplification des expressions trigonométriques à l'aide d'identités à double angle | Nagwa](https://media.nagwa.com/934174159192/fr/thumbnail_l.jpeg)
Vidéo de question : Simplification des expressions trigonométriques à l'aide d'identités à double angle | Nagwa
![Prove thatsin alpha + sin 2alpha + sin 4alpha + sin 5alpha = 4cos dfrac { alpha}{2} cos dfrac {3alpha}{2} sin 3alpha. Prove thatsin alpha + sin 2alpha + sin 4alpha + sin 5alpha = 4cos dfrac { alpha}{2} cos dfrac {3alpha}{2} sin 3alpha.](https://haygot.s3.amazonaws.com/questions/1719279_1731167_ans_e40a8d642474490188134a337dc60781.jpg)
Prove thatsin alpha + sin 2alpha + sin 4alpha + sin 5alpha = 4cos dfrac { alpha}{2} cos dfrac {3alpha}{2} sin 3alpha.
Solved: a. cos alpha (sec alpha -cos alpha )=sin^2alpha b. tan alpha +cot alpha =sec alpha csc alp [algebra]
![General solution of `(i) sin^2theta = sin^2alpha; (ii) cos^2 theta = cos^2 alpha (iii) tan^2 t - YouTube General solution of `(i) sin^2theta = sin^2alpha; (ii) cos^2 theta = cos^2 alpha (iii) tan^2 t - YouTube](https://i.ytimg.com/vi/VneaQ6epKAo/maxresdefault.jpg)
General solution of `(i) sin^2theta = sin^2alpha; (ii) cos^2 theta = cos^2 alpha (iii) tan^2 t - YouTube
![int left[ sin alpha sin ( x - alpha ) + sin ^ { 2 } left( frac { x } { 2 } - alpha right) right] d x ) ( int left[ sin alpha sin ( x - alpha ) + sin ^ { 2 } left( frac { x } { 2 } - alpha right) right] d x ) (](https://toppr-doubts-media.s3.amazonaws.com/images/4457801/bd56e05b-0666-4cb3-8b62-cfc123f79253.jpg)
int left[ sin alpha sin ( x - alpha ) + sin ^ { 2 } left( frac { x } { 2 } - alpha right) right] d x ) (
If cos alpha is a root of 25x^2+5x-12=0, (-1<x<0), then what is a possible value of sin (2 alpha)? - Quora
![trigonometry - Why is 2 $\cdot$ $\sin(\alpha)$ $\cos(\alpha)$=$\sin(2\alpha)$? - Mathematics Stack Exchange trigonometry - Why is 2 $\cdot$ $\sin(\alpha)$ $\cos(\alpha)$=$\sin(2\alpha)$? - Mathematics Stack Exchange](https://i.stack.imgur.com/425Fy.png)