Answer the following:

MATHEMATICS · Multi-part · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

Answer the following: (i) Derive the identity sin⁡2x=1−cos⁡2x2\sin^2x=\dfrac{1-\cos2x}{2}. (ii) Hence, find the exact value of sin⁡222.5∘\sin^2 22.5^\circ.

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