If , then show that…

MATHEMATICS · Subjective · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

If cos⁡2α−sin⁡2α=tan⁡2β\cos^2 \alpha - \sin^2 \alpha = \tan^2 \beta , then show that tan⁡2α=cos⁡2β−sin⁡2β\tan^2 \alpha = \cos^2 \beta - \sin^2 \beta .

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