Answer
$135^\circ, 315^\circ$
Work Step by Step
Given $cot\theta=\frac{1}{tan\theta}=-1$, we have $tan\theta=-1$, we can find a reference angle $\theta_0=atan(1)=45^\circ$ and all values in $[0^\circ,360^\circ)$ as $\theta=135^\circ, 315^\circ$
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