Find the sum `sintheta+x sin 2theta+x^2sin 3theta+… to oo`

Prove that: sin theta- 1/2 sin 2 theta+1/3 sin 3theta-…to oo = theta/2

Prove that : (sin theta + 2 sin 3theta + sin 5theta)/(sin 3theta + 2 sin 5theta + sin 7theta) = (sin 3theta)/(sin 5theta)

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

Find the sum of the series sintheta- (sin2theta)/(2!)+(sin3theta)/(3!)-… to oo

Find the range of 12sintheta-9sin^2theta

Sum to terms of the series sintheta sin2theta + sin2thetasin3theta + sin3theta sin4theta +..... is equal to

Solve 4sintheta sin2thetasin4theta=sin3theta

If sin theta_1 + sintheta_2 + sin theta_3 = 3 then find the value of cos theta_1 + cos theta_2 + cos theta_3.

If x sin^3 theta+ y cos^3 theta = sin theta cos theta and x sin theta = y cos theta, Find the value of x^2 + y^2.

If x = 3 cos theta - 2 cos^3 theta,y = 3 sin theta - 2 sin^3 theta , then dy/dx is