Answer
$\frac{\pi}{2}$
Work Step by Step
$5csc\theta-3=2$,
$csc\theta=1$,
$sin\theta=1$,
$\theta=2k\pi+\frac{\pi}{2}$ (k is an integer),
$\theta=\frac{\pi}{2}$ in $[0,2\pi)$.
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