Question

Prove that
cosec^2a cosec^a= tan^2a + cot^2a + 2

Answer 1

Answer:

tan2A + cot2A + 2 = cosec2A sec2A

Take the RHS:

tan2A + cot2A + 2

tan2A + cot2A + 1 + 1

tan2A + 1 + cot2A + 1

Since, tan2A + 1 = sec2A and cot2A + 1 = cosec2A

sec2A + cosec2A

1/cos2A + 1/Sin2A

(Sin2A + Cos2A) / cos2A Sin2A

1/ cos2A sin2A

Sec2A cosec2A= LHS

Hope this helps. Happy learning!!!