Question #c528c

1 Answer
sankarankalyanam ยท Stefan V.
Sep 20, 2017

(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

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