Answer
$\frac{3\pi}{4}, \frac{7\pi}{4}$
Work Step by Step
$tan\theta+1=0 \longrightarrow tan\theta=-1 \longrightarrow \theta=\pi-\frac{\pi}{4},2 \pi-\frac{\pi}{4} \longrightarrow \theta=\frac{3\pi}{4}, \frac{7\pi}{4}$
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