Answer
$$t=\frac{\pi }{4},\:t=\frac{5\pi }{4}$$
Work Step by Step
Using inverse trigonometric functions to solve the equation, we find:
$$\tan \left(t\right)=1,\:0\le \:t\le \:2\pi \\ t=\frac{\pi }{4}+\pi n \\ t=\frac{\pi }{4},\:t=\frac{5\pi }{4}$$