Question

What is inverse secant equal to?

Answer 1

Secant is one of the $6$ basic trigonometric functions.

It is the reciprocal of the cosine function.

The inverse of secant can be written as $arcsec$ or $se{c}^{-1}$.

From the graph of the function, we get

• The domain is: $\left(-\infty ,-1\right]\cup \left[1,\infty \right)$
• The range is: $\left[0,\mathrm{\pi }\right]-\left\{\frac{\mathrm{\pi }}{2}\right\}$
• For negative values: ${\sec }^{-1}\left(-x\right)=\mathrm{\pi }-{\sec }^{-1}\left(\mathrm{x}\right)$