Explain, in one or two sentences, why for every real when and are defined by the unit…

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

Problem

Explain, in one or two sentences, why sin⁡2θ+cos⁡2θ=1\sin^2\theta+\cos^2\theta=1 for every real θ\theta when sin⁡θ\sin\theta and cos⁡θ\cos\theta are defined by the unit circle.

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