If `(2sin theta + 3 cos theta) =2`, prove that `(3 sin theta - 2 cos theta ) = pm 3.`

If (3 sin theta + 5 cos theta ) = 5, prove that (5 sin theta - 3 cos theta ) = pm 3.

2 cos (theta - pi //2) + 3 sin (theta + pi//2) - (3sin theta + 2 cos theta ) = ? A. cos theta - sin theta B. sin theta - cos theta C. sin theta + cos theta D. cot theta - tan theta .

If 7sin ^2theta +3cos^2theta =4 , prove that, tan theta =pm1/sqrt(3) .

( sin theta - 2 sin ^ 3 theta ) / (2 cos ^ 3 theta - cos theta ) = tan theta

Prove that : (sin theta + sin 3theta + sin 5theta)/(cos theta + cos 3theta + cos 5theta) = tan 3theta

If 3 sin theta=2 cos theta , then 3 sin theta=2 cos theta , then (4 sin theta-cos theta)/(4 cos theta+sin theta) is equal to: यदि 3 sin theta=2 cos theta है, तो 3 sin theta=2 cos theta , then (4 sin theta-cos theta)/(4 cos theta+sin theta) का मान क्या होगा ?

Prove that : (1-sin theta cos theta)/ (cos theta (sec theta - cosec theta)) times (sin^2 theta - cos^2 theta)/(sin^3 theta + cos^3 theta) = sin theta

Prove that : (cos 4theta + cos 3theta + cos 2theta)/(sin 4theta + sin 3theta + sin 2theta) = cot 3theta

If 2 - cos^(2) theta = 3 sin theta cos theta , sin theta ne cos theta then tan theta is

If 0 lt theta lt pi/2 , the solution of the equation sin theta - 3 sin 2 theta + sin 3 theta = cos theta - 3 cos 2 theta + cos 3 theta is