How do you prove $(1 - sin2x) / (cos2x) = (cos2x) / (1 + sin2x)$ ?

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Answer 1 · 2015-12-08T05:52:03

Prove trig equation.

Prove by cross multiplication:
$cos^2 2x = (1 - sin 2x)(1 + sin 2x)$
$cos^2 2x = (1 - sin^2 2x)$
This is a popular trig identity.

How do you prove (1 - sin2x) / (cos2x) = (cos2x) / (1 + sin2x)(1 - sin2x) / (cos2x) = (cos2x) / (1 + sin2x)?