Prove that ^4 + ^4 =1- 12 ^22 .

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

Problem

Prove that sin⁡4θ+cos⁡4θ=1−12sin⁡22θ.\sin^4\theta+\cos^4\theta=1-\tfrac12\sin^22\theta.

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