Find the sum to n terms: `1/(sinthetasin2theta)+1/(sin2thetasin3theta)+1/(sin3thetasin4theta)+...`

Solve : 4sinthetasin2thetasin4theta=sin3theta

Find the value of tan ^2theta sin^2 theta+ sin^2 theta-tan^2theta-1 =0

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

Solve sin 2theta+sin 4 theta+sin 6 theta=0 .

Find 1\(tan^2 theta) -1/(sin^2 theta) . .

Prove the following (sintheta-2sin^3theta) /(2cos^3theta-costheta) =tantheta

If theta=30° , show that 3sin theta- 4sin^3 theta= sin theta cos2 theta + costheta sin 2theta .

Prove that (((1+cot theta +tan theta)(sintheta-costheta))/(sec^3theta -cosec^3theta)) = (sin^2theta cos^2theta)

Prove the following (cos^2theta) /(1-tantheta) +sin^3theta/(sintheta-costheta) =1+sinthetacostheta

Find sin theta . .