If cos x - sin x=2 sinx Then prove that cosx + sinx=2cosx

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\sqrt{2} c o s x

\sqrt{2} s i n x

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y = x [(cos \frac{x}{2} + sin \frac{x}{2}) (cos \frac{x}{2} - sin \frac{x}{2}) + sin x] + \frac{1}{2 \sqrt{x}}

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