Prove that :
`1 + Costheta = Sin^2theta/( 1 - Costheta )`

Evaluate : ( Sintheta + Costheta ) ( 1 - Sintheta Costheta ) = Sin^3theta + Cos^3theta

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

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

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

Prove that sintheta (1 + Costheta) is the greatest at theta=pi/3

Prove that : (1-costheta)(1+costheta)(1+cot^(2)theta)=1

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

Prove that, 1/(costheta-cos3theta)+1/(costheta-cos5theta)+1/(costheta-cos7theta)+…+to n terms = 1/(2sintheta) [cottheta-cot(n+1)theta]

Prove that : (1+sintheta)/(costheta)+(costheta)/(1+sintheta)=2sectheta