Prove that
`sin^2theta+cos^2theta=1`

prove that- sin^2theta/cos^2theta+cos^2theta/sin^2theta=1/ (sin^2thetacos^2theta)-2

Prove that sin^(6)theta+cos^(6)theta=1-3sin^(2)theta cos^(2)theta

Prove that sin^(6)theta+cos^(6)theta=1-3sin^(2)theta.cos^(2)theta.

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

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

Prove that sin^(4)theta-cos^(4)theta=sin^(2)theta-cos^(2)theta

Prove that :2sin^(2)theta+4cos(theta+alpha)sin alpha sin theta+cos2(alpha+theta) is independent of theta.

Prove sin^(2)theta+cos^(2)theta=1

Prove that cos^2theta=1-sin^2theta