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Show that f(x)=cos^2x is decreasing func...

Show that `f(x)=cos^2x` is decreasing function on `(0,pi/2)dot`

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`f(x)=cos ^{2} x `
` f^{prime}(x)=2 cos x(-sin x) `
` Rightarrow f^{prime}(x)=-sin (2 x) ldots(1) `
Now,
` 0 ` Rightarrow `0<2 x` ...
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