Question

How do you simplify `(sec^2(x)−1)/(tan(x)sin(x))`?

Answer 1

Simplify: `(sec^2 - 1)/(tan x.sin x)`

Ans:`1/cos x`

Explanation:

Use trig identity: `sec^2 x = 1 + tan^2 x`

`(sec^2 - 1)/(tan x.sin x) = tan^2 x/(tan x.sin x) =`

`= (sin x)/(sin x.cos x) = 1/cos x`