1. trigonometric inequation

i need to prove that for every $y\geq x\geq\frac{3}{\pi}$ : $y^{2}cos\frac{1}{y}-x^{2}cos\frac{1}{x}\geq(y^{2}-x^{2})cos\frac{1}{x}\geq\frac{(y^{2}-x^{2})}{2}$

2. Re: trigonometric inequation

Originally Posted by orir
i need to prove that for every $y\geq x\geq\frac{3}{\pi}$ : $y^{2}cos\frac{1}{y}-x^{2}cos\frac{1}{x}\geq(y^{2}-x^{2})cos\frac{1}{x}\geq\frac{(y^{2}-x^{2})}{2}$
What have you been able to do so far?

-Dan

3. Re: trigonometric inequation

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