# What is sin^-1 -1?

May 7, 2016

As the interval is not specified, the general solution is given.
$\left(2 n - \frac{1}{2}\right) \pi , n = 0 , \pm 1 , \pm 2 , \pm 3 , \ldots$.
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#### Explanation:

Sine is negative in the 3rd and 4th quadrant. The odd multiple of #pi/2) here is the solution.

Answer: $\left(2 n - \frac{1}{2}\right) \pi , n = 0 , \pm 1 , \pm 2 , \pm 3 , .$.
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n = 1 gives $\left(\frac{3}{2}\right) \pi$.