Answer
$$t=\frac{3\pi }{2}$$
Work Step by Step
Using inverse trigonometric functions to solve the equation, we find:
$$ \sin \left(t\right)=-1,\:0\le \:t\le \:2\pi \\ t=\frac{3\pi }{2}+2\pi n \\ t=\frac{3\pi }{2}$$
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