If sin alpha + sin beta =1/3 and cos alpha +cos beta =1/4, then what is the value of cos (alpha +beta)? - Quora
![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 .
![sinalpha+sinbeta-sin(alpha+beta))/(sinalpha+sinbeta+sin(alpha+beta))=tan( alpha/2)tan(beta/2)` - YouTube sinalpha+sinbeta-sin(alpha+beta))/(sinalpha+sinbeta+sin(alpha+beta))=tan( alpha/2)tan(beta/2)` - YouTube](https://i.ytimg.com/vi/aqYyx-vO3QU/maxresdefault.jpg)
sinalpha+sinbeta-sin(alpha+beta))/(sinalpha+sinbeta+sin(alpha+beta))=tan( alpha/2)tan(beta/2)` - YouTube
![If sin alpha + sin beta + sin gamma = cos alpha + cos beta + cos gamma then what is the value of cos^2 alpha + cos^2 beta + cos^2 gamma ? | Socratic If sin alpha + sin beta + sin gamma = cos alpha + cos beta + cos gamma then what is the value of cos^2 alpha + cos^2 beta + cos^2 gamma ? | Socratic](https://useruploads.socratic.org/E13ICBxURLKrJzyqGWAl_socratic.png)