If -2-x- then find d-d x-1-cos 2 x-2

We have d/dx√(1+cos 2x/2) =d/dx√(sin^2x+cos^2x+cos^2x sin^2x/2) =d/dxcos x = sin x =sin x [since π/2 lt; x lt; π ] ...

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if π/2<x<π, t...

Question

if $\frac{π}{2} < x < π$ , then find $\frac{d}{d x} (\sqrt{\frac{1 + c o s 2 x}{2}})$

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