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

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

If 3 sin theta+5 cos theta = 5 , show that: 5 sin theta - 3 cos theta = +-3

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

Solve : sqrt3 sin theta - cos theta = sqrt2.

If 5 cos theta = 6 , sin theta , evalutate : (12 sin theta - 3cos theta)/(12 sin theta + 3 cos theta)

The roots of the equation |(3x^(2),x^(2) + x cos theta + cos^(2) theta ,x^(2) + x sin theta + sin^(2) theta),(x^(2) + x cos theta + cos^(2) theta,3 cos^(2) theta,1 + (sin 2 theta)/(2)),(x^(2) + x sin theta + sin^(2) theta,1 + (sin 2 theta)/(2),3 sin^(2) theta)| = 0

Solve sqrt(3) cos theta-3 sin theta =4 sin 2 theta cos 3 theta .

cos theta+sqrt(3)sin theta=2

sin^(3)theta + sin theta - sin theta cos^(2)theta =

The number of values of theta satisfying 4 cos theta+3 sin theta=5 as well as 3 cos theta + 4 sin theta = 5 is