Prove that:
`cos^2theta(1+tan^2theta)=1`.

prove that cos^2theta(1 + tan^2 theta) = 1

Prove that: cos^2 theta (1 + tan^2 theta) = 1

Prove that : cos 2 theta= (1-tan^2 theta)/(1+tan^2 theta) .

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

If tan^4theta+tan^2theta=1 , prove that, cos^4 theta+cos^2theta=1

tan theta+1/tan theta=2 then prove that tan^2theta+1/tan^2theta=2

If tan^4theta - tan^2 theta= 1 , then prove that cos^4theta+ cos^2theta = 1

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

tan theta+(1)/(tan theta)=2 then prove that tan^(2)theta+(1)/(tan^(2)theta)=2

Prove that (tan^(3)theta)/(1+tan^(2)theta)+(cot^(3)theta)/(1+cot^(2)theta)=sec theta cos ec theta-2sin theta cos theta