Prove that-
`1-cos^2theta/(1+sintheta)=sintheta`

Prove that : (1-costheta)/(sintheta)+(sintheta)/(1-costheta)=2"cosec "theta

Prove that- (1-sintheta)/(1+sintheta)= (sectheta-tantheta)^2

Prove that- (1+sintheta)/(1-sintheta)= (sectheta+tantheta)^2

Prove that : (1+costheta- sin^(2)theta)/(sintheta+sinthetacostheta)=cottheta

If costheta +sin theta= sqrt(2)cos theta , then prove that costheta-sintheta =sqrt(2)sin theta

Prove that:- (cos(theta/2)+sin(theta/2))^2=1+sintheta

Prove that: sqrt((1-sintheta)/(1+sintheta))=sectheta -tan theta .

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

Prove that (cos theta-sintheta)/(cos theta+sintheta)=sec 2 theta-tan 2theta .

Prove that : (sintheta-costheta)/(sintheta+costheta)+(sintheta+costheta)/(sintheta-costheta)=(2)/(2sin^(2)theta-1)