Question

Prove that: (1 + tan A)^2 + (1 - tan A)^2 = 2 sec^2 A.​

Answer 1

Step-by-step explanation:

LHS = (1+tanA)^2 + (1-tanA)^2

=> 1+Tan^2A+2TanA + 1+Tan^2A-2TanA

=> 2+2Tan^2A

=> 2(1+Tan^2A)

=> 2Sec^2A. (as 1+Tan^2A = Sec^2A)..... Answer

KINDLY MARK THE ANSWER AS BRAINLIEST.

Answer 2

~(1+tanA)^2+(1-tanA)^2

=2sec^2A.. ... ..