Ask Me Help Desk - Csc^2x=2; solve equation?

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csc^2x=2; solve equation?

$\csc ^2 2x=2$

$\frac{1}{sin^2 2x}=2$

$\sin ^2 2x=\frac{1}{2}$

$\sin 2x=\pm \frac{\sqrt{2}}{2}$

$2x=\pm \frac{\pi}{4}$

$x=\pm \frac{\pi}{8}$

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