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Prove that equation 2 "cos"^(2) x/2 sin^...

Prove that equation `2 "cos"^(2) x/2 sin^(2) x=x^(2)+x^(-2), 0 lt x le pi/2` has no solution.

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We have,
We have,
`x=0` and `x le pi/9`
`rArr 2sin^(2)x cos^(2) x/2 lt 2`
and `x^(2) + 1/x^(2) ge 2`
Hence no solution exists.
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AAKASH INSTITUTE ENGLISH-TRIGNOMETRIC FUNCTIONS -Section - J (Akash Challengers Question)
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