Without finding the numerical values of and

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

Problem

Without finding the numerical values of sin⁡θ\sin\theta and cos⁡θ\cos\theta, decide which is greater, sin⁡2θ\sin^{2}\theta or cos⁡2θ\cos^{2}\theta, when cos⁡2θ<0\cos 2\theta<0. Give a brief reason for your answer.

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