Prove that .

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Prove that sec⁡x−tan⁡xsec⁡x+tan⁡x=1−sin⁡x1+sin⁡x\displaystyle \frac{\sec x-\tan x}{\sec x+\tan x}=\frac{1-\sin x}{1+\sin x}.

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