Solve `sin^(3)thetacostheta-cos^(3)thetasintheta=1//4`.

Solve costheta+cos3theta-2cos2theta=0 .

Solve 7cos^(2)theta+3sin^(2)theta=4 .

Solve sqrt 2+sin theta=cos theta .

The value of theta lying between theta = 0 and theta = pi//2 and satisfying the equation |(1+sin^(2)theta,cos^(2)theta,4sin4theta),(sin^(2)theta,1+cos^(2)theta,4sin4theta),(sin^(2)theta,cos^(2)theta,1+4sin4theta)|=0 are a) 3pi//24 b) 5pi//24 c) 11pi//24 d) pi//24

Prove that sin (3theta)/(1+2cos 2theta)=sin theta .

(b)Show that (sin theta+sin 3theta+sin 5 theta+sin 7 theta)/(cos theta+cos3theta+cos 5 theta+cos 7 theta)=tan 4 theta .

We express ((cos 2theta -i sin 2theta)^(4) (cos 4theta + i sin 4 theta)^(-5))/((cos 3theta + i sin 3theta)^(-2) (cos 3theta -i sin 3theta)^(-9)) in the form of x+iy , we get

If sin theta- cos theta =1 , then the vlaue of sin^(3) theta- cos^(3) theta is equal to

if cos theta_(1) + cos theta_(2) + cos theta_(3)= sin theta_(1) + sin theta_(2) + sin theta_(3)= 0 , then the value of cos (theta_(1) + theta_(2)) + cos (theta_(2) + theta_(3)) + cos (theta_(3) + theta_(1)) is

Consider the equation sintheta+sin3theta+sin5theta=0 prove that sin3theta(1+2cos2theta)=0