# Prove using trig identites

## 1 Answer

\[\sin x = 2 \cos(\frac{x}{2})\sin (\frac{x}{2})=2 \cos(\frac{x}{2})[2 \cos(\frac{x}{4})\sin (\frac{x}{4}) ]\]

\[=4 \cos(\frac{x}{2}) \cos(\frac{x}{4})\sin (\frac{x}{4}).\]

Savionf

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