Question

Question #c528c

Answer 1

`(2 tan x)/( cos x)`

Explanation:

`1 / (1 - sin x) - 1 / (1 + sin x) = (1 + sin x - 1 + sin x) / ((1 - sin x)(1 + sin x))`

{taking LCM}

`= (2sin x) / (1 - sin^2 x)`

`= (2 sin x) / cos^2 x`

`= 2 (sin x / cos x) (1 / cos x)`

`= (2 tan x) / cos x`