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Solve for x in the given interval. csc(x) = -1, for 3π≤x≤4π
\[\csc x=\frac{1}{\sin x}\] \[\large \frac{1}{\sin x}=-1\] \[\large 1=-\sin x\] \[\large \sin x=-1\] \[\large x=\frac{3\pi}{2}, \frac{7\pi}{2}\] Using your restriction, it would be the last answer I wrote down. \[\large x=\frac{7\pi}{2}\]
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