show that `(1+cos theta -sin^2theta) / ((1+cos theta)sin theta)`=`cot theta`

Prove that (cos^3 theta-sin^3 theta)/(cos theta-sin theta) = 1+cos theta sin theta

Prove that (1- cos theta + sin theta)/( 1+cos theta +sin theta) = "tan"(theta)/(2) .

Evaluate: intcos 2 theta ln((cos theta+sin theta)/(cos theta-sin theta))d theta

Prove that : (sin^(2)theta)/(cos theta)+cos theta=sec theta

Prove : (cos theta)/(1+sin theta) + (cos theta)/(1-sin theta)= 2 sec theta

Prove that : (2 cos^(3) theta-cos theta)/(sin theta-2 sin^(3)theta)=cot theta

(sin theta + sin 2 theta)/( 1 + cos theta + cos 2 theta) = tan theta.

Find the value of (1+cos theta+sin theta)/(1-cos theta +sin theta)

Prove that (cos^3theta+sin^3 theta)/(cos theta+sin theta)+(cos^3 theta-sin^3 theta)/(cos theta-sin theta)=2

cos theta sqrt(1-sin^(2)theta)=