Answer
True.
Work Step by Step
Please note that vertical asymptotes of $y=2 \csc 2x=\frac{2}{\sin 2x}$ occur at $x$-intercepts of $y=2\sin 2x$. So $x=\frac{\pi }{2}$ is a vertical asymptote of $y=2 \csc 2x$ since $2\sin 2 (\frac{\pi }{2})=0$.
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