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Prove the trig identity: Cos x/1-sinx - Cos x/1+sin x = 2tan x

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Answer to a math question Prove the trig identity: Cos x/1-sinx - Cos x/1+sin x = 2tan x

Expert avatar
Jon
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110 Answers
$=\frac{\sin(2x)}{(-\sin(x)+1)(\sin(x)+1)}$
$=\frac{\sin(2x)}{\cos^{2}(x)}$
$=2\tan(x)$

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