how to integrate y = cos x. explain with steps.

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if f(x)=cos [π]x+cos[πx] where [y] is the greatest integer function of y then f(π/2)=? Explain with steps please

If sin A + 2cos A = 1

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\frac{cos 2 x - cos 2 α}{cos x - cos α}

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\frac{1}{2 + cos x}

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\frac{1 - sin x}{x + cos x}

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