`(sintheta+sin 2theta)/(1+costheta+cos2theta)=`

Prove that (frac(sintheta-2sin^3theta)(2cos^3theta-costheta))=tantheta

(sin theta + sin 2 theta)/( 1+ cos theta + cos 2 theta)= .................. A) 1/2 tan theta B) 1/2 cot theta C) tan theta D) cot theta

Prove the following: (frac(1-cos2theta+sin2theta)(1+cos2theta+sin2theta))=tantheta

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

(xv) (cos^2 theta) / (1- tan theta) +( sin^3 theta)/ (sin theta - cos theta) = 1 + sin theta cos theta

Prove : (cos^2 theta)/(1-tan theta) + (sin^3 theta)/(sin theta-cos theta) = 1 + sin theta cos theta

Prove that : (sin theta)/(1 - costheta) = cosec theta + cot theta

Prove the following: sin^8theta-cos^8theta=(sin^2theta-cos^2theta)(1-2sin^2thetacos^2theta)