If `cos theta + sin theta =sqrt(2) cos theta` prove that `cos theta -sin theta =sqrt(2) sin theta`

cos theta=sqrt(1-sin theta)

cos theta=sqrt(1-sin theta)

If sin theta-sqrt(6)costheta=sqrt(7)costheta. Prove that cos theta+sqrt6 sin theta-sqrt7 sin theta=0.

cos theta+sqrt(3)sin theta=2

If sin theta + cos theta =sqrt(3), then prove that tan theta + cot theta = 1 .

Prove that (1 - cos 2 theta)/( sin 2 theta) = tan theta.

cos theta sqrt(1-sin^(2)theta)=

Solve sin theta+cos theta=sqrt(2) cos A .

If 2 cos theta = sqrt3. prove that : 3 sin theta - 4 sin ^(3) theta =1

Prove that : sin theta cos^3 theta - cos theta sin^3 theta = 1/4 sin4theta .