Prove that 1 - ^2 1 - ^2 = ^2 for any acute angle .

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

Problem

Prove that 1−cos⁡2θ1−sin⁡2θ=tan⁡2θ\frac{1 - \cos^2 \theta}{1 - \sin^2 \theta} = \tan^2 \theta for any acute angle θ\theta.

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