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## Homework Statement

Derive the following:

y = (cosxsin2x)

^{-2}

**2. The attempt at a solution**

Basically I saw this as a power rule with two products in the middle.

So y = -2 (cos2cos2x-sinxsin2x)

^{-1}

But the correct answer is completely different, it's:

4(3sin

^{2}x - 1) all over

cos

^{2}xsin

^{3}2x

Could someone please go through the steps to get to the correct solution? Thanks in advance!