Prove : `(tan^2A)/(1+tan^2A)+(cot^2A)/(1+cot^2A)=1`

Prove: (tanA)/((1+tan^2A)^2)+(cotA)/((1+cot^2A)^2)=sinAcosA

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

If (tan^(3)A)/(1+tan^(2)A)+(cot^(3)A)/(1+cot^(2)A)=p secA"cosec"A+q sinA cosA , then :

Prove that : (tan A)/ (1 - cot A) + (cot A)/ (1 - tan A) = sec A cosec A + 1

Prove the following identities : (cot A)/(1 - tan A) + (tan A)/(1- cot A) = 1 + tan A + cot A

Prove that: tan^(-1) (1/2tan2A) + tan^(-1) (cotA) + tan^(-1) (cot^3A) =0

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

prove (1 + tan^2A) / (1 + cot^2A) = [(1 - tan A) / (1 - cotA)] ^2 = tan^2A

Prove: (tan^3theta)/(1+tan^2theta)+(cot^3theta)/(1+cot^2theta)=secthetacos e c\ theta-2sinthetacostheta

(sec8A-1)/(sec4A-1) is equal to (A) (tan2A)/(tan8A) (B) (tan8A)/(tan2A) (C) (cot8A)/(cot2A) (D) none of these