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

Prove that : (1-tan^(2)theta)/(cot^(2)theta-1)=tan^(2)theta

Prove that 1/(1+tan^2theta)+1/(1+cot^2theta) =1

(1+tan^2theta) sin^2theta

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

Prove: (1+tan^2theta)/(1+cot^2theta)=((1-tantheta)/(1-cottheta))^2=tan^2theta

Prove the identity ((1-tan theta)/(1-cot theta))^(2)=tan^(2)theta

Prove: tan^2thetacos^2theta=1-cos^2theta

Prove that (tan^2 (2theta)-tan^2 theta)/(1-tan^2 (2theta) tan^2 theta)=tan (3theta)tan theta

Prove that: (a) (sin 2 theta)/(1+cos 2 theta)=tan theta (b) (1+sin 2 theta+cos 2theta)/(1+sin2 theta-cos 2 theta)=cot theta

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