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For 0 lt x lt (pi)/(2), prove that cos (...

For `0 lt x lt (pi)/(2)`, prove that `cos (sin x) gt sin (cos x)`.

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AAKASH SERIES-MAXIMA AND MINIMA -Advanced Analytical Solved Examples
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  7. For 0 lt x lt (pi)/(2), prove that cos (sin x) gt sin (cos x).

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  14. Let a, b, c be positive number. If ax^(2) + (b)/(x) = c for all x gt 0...

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  15. If f(x) = 2sin^(3) x + lambda sin^(2) x, x - (pi)/(2) lt x lt (pi)/(2)...

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