Prove that `cottheta-tantheta=2cot2theta` .

Solve tan 5theta=cot2theta .

Prove that (sin2theta)/(1-cos2theta)=cottheta

Prove that (1+costheta+sintheta)/(1-costheta+sintheta)=cot(theta/2)

Prove that (tan5theta+tan3theta)/(tan5theta-tan3theta)=4cos2thetacos4theta

Consider the trigonometric expression sin(2A)/(1-cos 2A) amd sin(2A)/(1+cos 2A) .(iii)Prove that (1-cos theta)/sin theta=tan (theta/2)=(sin theta)/(1+cos theta) .

Prove that cos^2theta=(1+cos2theta)/2

Prove that (sin2theta)/(1+cos2theta)=tantheta

Prove that 2 sec ^(2) theta-2 cosec^2theta-sec ^(4) theta+cosec^4 theta=cot ^(4) theta-tan ^(4) theta

Suppose that costheta=-1/2 and theta is in the 2nd quadrant prove that (4tantheta+4sintheta)/(3costheta-3sintheta)=(4sqrt3)/(3(1+sqrt3))

Prove that (tan^(2)2theta-tan^(2)theta)/(1-tan^(2)2thetatan^(2)theta)=tan3thetatantheta .