Range of `f(theta)=cos^2theta(cos^2theta+1)+2sin^2theta` is

Solve 7cos^2theta+3sin^2theta=4

Solve cos theta+cos 2theta+cos 3theta=0 .

Prove: sin^(8)theta-cos^(8)theta=(sin^(2)theta-cos^(2)theta)(1-2sin^(2)thetacos^(2)theta)

Prove that cos 8 theta cos 2 theta = cos^(2) 5theta- sin^(2) 3 theta

Assertion: sin2theta=(2tantheta)/(1+tan^2 theta) , Reason: sin^2 theta +cos^2 theta =1,sin2theta=2sinthetacostheta

(sintheta+sin2theta)/(1+costheta+cos2theta)

(1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=?

(1)/(sin^(2)theta)-(cos^(2)theta)/(sin^(2) theta) =___.

If sin theta+sin2theta+sin3theta=sin alpha and cos theta+cos 2theta+cos3theta=cos alpha , then theta is equal to

If sin theta + cos theta theta = sqrt(2) cos theta then cos theta - sin theta is