Inverse Secant Function Definition and Range

Rarely Tested

$$y = \sec^{-1} x \quad \mathrm{iff} \quad x = \sec y$$

Principal range: $$y \in \left[0, \frac{\pi}{2}\right) \cup \left(\frac{\pi}{2}, \pi\right]$$, Domain: $$|x| \geq 1$$

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