Question

cos squre alpha +cos squre beta +cos squre gamma =1 then find sin squre alpha +sin squre beta +sin squre gamma

Answer 1

Answer:

Answer is given below....

Step-by-step explanation:

$\cos^2\alpha+\cos^2\beta+\cos^2\gamma=1\\(1-\sin^2\alpha)+(1-\sin^2\beta)+(1-\sin^2\gamma)=1\\1-\sin^2\alpha+1-\sin^2\beta+1-\sin^2\gamma=1\\3-\sin^2\alpha-\sin^2\beta-\sin^2\gamma=1\\\sin^2\alpha+\sin^2\beta+\sin^2\gamma=3-1\\\sin^2\alpha+\sin^2\beta+\sin^2\gamma=2$

Hope it helps!

<3