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For 0ltxlt(pi)/(2),prove that x gt sin x...

For `0ltxlt(pi)/(2)`,prove that `x gt sin x `

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To prove that \( x > \sin x \) for \( 0 < x < \frac{\pi}{2} \), we can use calculus to analyze the function \( f(x) = x - \sin x \). ### Step 1: Define the function Let \( f(x) = x - \sin x \). ### Step 2: Find the derivative To analyze the behavior of \( f(x) \), we first find its derivative: \[ ...
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