#### Answer

$\frac{3\pi}{4}$, $\frac{7\pi}{4}$

#### Work Step by Step

$2\cot x+1=-1$
$2\cot x=-2$
$\cot x=-1$
The only solutions in $[0, 2\pi)$ are $\frac{3\pi}{4}$ and $\frac{7\pi}{4}$.

Published by
Pearson

ISBN 10:
013421742X

ISBN 13:
978-0-13421-742-0

$\frac{3\pi}{4}$, $\frac{7\pi}{4}$

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