Explain why dividing the identity by is not permissible for angles

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

Problem

Explain why dividing the identity sin⁡2x+cos⁡2x=1\sin^2 x+\cos^2 x=1 by sin⁡2x\sin^2 x is not permissible for angles x=nπx=n\pi, where n∈Zn\in\mathbb Z.

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