Writing to Learn Explain why 1- 2 x 2 =| x| is an identity but 1- 2 x 2 = x is not an…

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

Problem

62. Writing to Learn Explain why 1−cos⁡2x2=∣sin⁡x∣\sqrt{\frac{1-\cos 2 x}{2}}=|\sin x| is an identity but 1−cos⁡2x2=sin⁡x\sqrt{\frac{1-\cos 2 x}{2}}=\sin x is not an identity.

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