If sin alpha + sin beta =1/3 and cos alpha +cos beta =1/4, then what is the value of cos (alpha +beta)? - Quora
![Prove that : sinalpha-sin(alpha+beta) + sin(alpha+ 2beta) + ... to n termscosalpha-cos(alpha+beta) + cos(alpha+ 2beta) + ... to n terms = tan { alpha + n - 12 (pi + beta) } . Prove that : sinalpha-sin(alpha+beta) + sin(alpha+ 2beta) + ... to n termscosalpha-cos(alpha+beta) + cos(alpha+ 2beta) + ... to n terms = tan { alpha + n - 12 (pi + beta) } .](https://haygot.s3.amazonaws.com/questions/1689233_1733481_ans_cfb16b3e69f84e02bd17c816e735ea92.jpg)
Prove that : sinalpha-sin(alpha+beta) + sin(alpha+ 2beta) + ... to n termscosalpha-cos(alpha+beta) + cos(alpha+ 2beta) + ... to n terms = tan { alpha + n - 12 (pi + beta) } .
![linear algebra - why $\cos\alpha\cos\beta+\sin\alpha\sin\beta=\cos(\beta - \ alpha)$? - Mathematics Stack Exchange linear algebra - why $\cos\alpha\cos\beta+\sin\alpha\sin\beta=\cos(\beta - \ alpha)$? - Mathematics Stack Exchange](https://i.stack.imgur.com/zoK2C.png)
linear algebra - why $\cos\alpha\cos\beta+\sin\alpha\sin\beta=\cos(\beta - \ alpha)$? - Mathematics Stack Exchange
![Prove that (1) `sinalpha+sinbeta+singamma_sin(alpha+beta+gamma)=4sin((alpha +beta)/2)sin((alph... - YouTube Prove that (1) `sinalpha+sinbeta+singamma_sin(alpha+beta+gamma)=4sin((alpha +beta)/2)sin((alph... - YouTube](https://i.ytimg.com/vi/BykLM_97hZA/maxresdefault.jpg)
Prove that (1) `sinalpha+sinbeta+singamma_sin(alpha+beta+gamma)=4sin((alpha +beta)/2)sin((alph... - YouTube
![If `sin alpha+sin beta=a` and `cos alpha-cos beta=b` then `tan((alpha-beta)/2)` is equal to- - YouTube If `sin alpha+sin beta=a` and `cos alpha-cos beta=b` then `tan((alpha-beta)/2)` is equal to- - YouTube](https://i.ytimg.com/vi/mYuuR7iSPR4/maxresdefault.jpg)
If `sin alpha+sin beta=a` and `cos alpha-cos beta=b` then `tan((alpha-beta)/2)` is equal to- - YouTube
![if `A=[[cos alpha, sin alpha],[-sin alpha,cos alpha]] `then show that` A^2=[[cos 2alpha,sin 2a - YouTube if `A=[[cos alpha, sin alpha],[-sin alpha,cos alpha]] `then show that` A^2=[[cos 2alpha,sin 2a - YouTube](https://i.ytimg.com/vi/LDwf9tMfwAc/maxresdefault.jpg)
if `A=[[cos alpha, sin alpha],[-sin alpha,cos alpha]] `then show that` A^2=[[cos 2alpha,sin 2a - YouTube
![sin(beta + gamma - alpha) + sin(gamma + alpha - beta) + sin(alpha + beta - gamma) - sin(alpha + beta + gamma) = 4sinalphasinbetasingamma . sin(beta + gamma - alpha) + sin(gamma + alpha - beta) + sin(alpha + beta - gamma) - sin(alpha + beta + gamma) = 4sinalphasinbetasingamma .](https://haygot.s3.amazonaws.com/questions/1311287_1005493_ans_4a890aed4e02403788aeb932acf9bb0f.jpg)
sin(beta + gamma - alpha) + sin(gamma + alpha - beta) + sin(alpha + beta - gamma) - sin(alpha + beta + gamma) = 4sinalphasinbetasingamma .
![If `tan theta = (sin alpha - cos alpha) /(sin alpha + cos alpha)`, then `sin alpha+cos alpha` i... - YouTube If `tan theta = (sin alpha - cos alpha) /(sin alpha + cos alpha)`, then `sin alpha+cos alpha` i... - YouTube](https://i.ytimg.com/vi/fLL-wF8kpkE/maxresdefault.jpg)
If `tan theta = (sin alpha - cos alpha) /(sin alpha + cos alpha)`, then `sin alpha+cos alpha` i... - YouTube
![Find the distances between the following pair of points. (a cos alpha, a sin alpha) and (alpha cos beta, alpha sin beta) Find the distances between the following pair of points. (a cos alpha, a sin alpha) and (alpha cos beta, alpha sin beta)](https://dwes9vv9u0550.cloudfront.net/images/5552376/786ad9b1-921d-4ec7-8966-ab7606e765a0.jpg)
Find the distances between the following pair of points. (a cos alpha, a sin alpha) and (alpha cos beta, alpha sin beta)
![If sin alpha + sin beta = a and cos alpha + cos beta = b, show that cos ( alpha + beta ) = b^2 - a^2b^2 + a^2 If sin alpha + sin beta = a and cos alpha + cos beta = b, show that cos ( alpha + beta ) = b^2 - a^2b^2 + a^2](https://haygot.s3.amazonaws.com/questions/1410367_1664496_ans_0b1fb2b3811b4b359d0ad6fd0e8cf14b.jpg)