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

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

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

Prove that (1+ tan^4 theta)/(1+ tan^2 theta) = sec ^2 theta-2 sin^2theta

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

Prove that : (tan^(3) theta)/(1+tan^(2)theta) +(cot^(3)theta)/(1+cot^(2)theta) = sec theta "cosec " theta - 2 sin theta cos theta .

Prove the Identity (tan^(2)theta)/(tan^(2)theta-1)+(cosec^(2)theta)/(sec^(2)theta-cosec^(2)theta)=(1)/(sin^(2)theta-cos^(2)theta)

Prove the following identities: (1+tan^(2)theta)+(1+1/(tan^(2)theta))=1/(sin^(2)theta-sin^(4)theta)

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

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

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