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If sintheta + sin 2 theta +sin 3 theta= sin alpha And cos theta +cos 2 theta +cos 3 theta= cos alpha. Then theta is equal to.....????

If sintheta + sin 2 theta +sin 3 theta= sin alpha
 
And cos theta +cos 2 theta +cos 3 theta= cos alpha. Then theta is equal to.....????

Grade:11

1 Answers

Aditya Gupta
2081 Points
4 years ago
first eqn cn be written as sintheta + sin3theta +sin 2 theta= sin alpha
or sin2theta(1+2costheta)= sinalpha
similarly second eqn cn b writen as cos2theta(1+2costheta)= cosalpha
divide both eqns to get tan2theta= tanalpha
or 2theta= alpha
or theta = alpha/2
kindly approve :)

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