Question

tan^2tita=1 then find 1sec

Answer 1

Hi mate !!

Here's your answer !!

Given :

1. Tan²Ф = 1

To Find : 

SecФ = ?

Proof :

We know the identity,

= Tan²Ф + 1 = Sec²Ф

Substituting the values in the above identity we get,

= 1 + 1 = Sec²Ф

=> 2 = Sec²Ф

Taking square root on both sides we get,

SecФ = √ 2

Hence value of SecФ = √ 2.

Hope my answer helped !!

Cheers !!