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kaliprasad
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One of the 2 inequalities
$(\sin\, x)^{\sin\, x}\,<(\cos\, x)^{\cos\, x} $ and $(\sin\, x)^{\sin\, x}\,>(\cos\, x)^{\cos\, x} $ is always true for all x such that $0 \,< \, x \, < \pi/4$ Identify the inequality and prove it
$(\sin\, x)^{\sin\, x}\,<(\cos\, x)^{\cos\, x} $ and $(\sin\, x)^{\sin\, x}\,>(\cos\, x)^{\cos\, x} $ is always true for all x such that $0 \,< \, x \, < \pi/4$ Identify the inequality and prove it