Prove that (1 - { \tan }^(2) a) + (1 + { \tan }^(2) a) = 2 ​

Question

Prove that

`(1 - { \tan }^(2) a) + (1 + { \tan }^(2) a) = 2`
​

Answer 1

Explanation:

Hey there!

Given;

(1-tan^2a) + (1+tan^2a)= 2

LHS:

=(1-tan^2a)+(1+tan^2a)

Remove brackets.

=1-tan^2a + 1 +tan^2a

Cancel "tan^2a" and "-tan^2a"

= 1+1

= 2

RHS proved....

Hope it helps...