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Math Help - trigonometric inequation

  1. #1
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    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}
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    Re: trigonometric inequation

    Quote Originally Posted by orir View Post
    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
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    Re: trigonometric inequation

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