Prove that `(cos ""(theta)/(2) + sin ""(theta)/(2) ) ^(2) =1 + sin theta.`

Prove that : (cos theta)/(1-tan theta) + (sin theta)/(1-cot theta) = sin theta + cos theta

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

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

Prove that: (sin2theta)/(1+cos2theta)=t a ntheta

Prove that: (sin2theta)/(1+cos2theta)=t a ntheta

The roots of the equation |(3x^(2),x^(2) + x cos theta + cos^(2) theta ,x^(2) + x sin theta + sin^(2) theta),(x^(2) + x cos theta + cos^(2) theta,3 cos^(2) theta,1 + (sin 2 theta)/(2)),(x^(2) + x sin theta + sin^(2) theta,1 + (sin 2 theta)/(2),3 sin^(2) theta)| = 0

Prove that (costheta)/(1-sin theta)+(1-sin theta)/(cos theta)=2sec theta .

Prove that (2 sin theta - sin 2theta)/(2 sin theta + sin 2theta) = tan^2\ theta/2

Prove that sin(2theta)/(1-cos2theta)=cot theta

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