Prove that : if $\displaystyle -\frac{\pi }{2}< x< \frac{\pi }{2}$ ,then

$\displaystyle

\sin (x)ln\frac{1+sin(x)}{1-sin(x)}\succeq 2x^{2}

$

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- Nov 27th 2009, 07:49 PMdhiabProve that
Prove that : if $\displaystyle -\frac{\pi }{2}< x< \frac{\pi }{2}$ ,then

$\displaystyle

\sin (x)ln\frac{1+sin(x)}{1-sin(x)}\succeq 2x^{2}

$