Arcsec(x) Calculator — inverse secant function

arcsec(x) = sec⁻¹(x)

domain: |x| ≥ 1   |   range: [0 , π/2) ∪ (π/2 , π] rad
given value
domain: x ≤ -1 or x ≥ 1 (otherwise "NaN")
arcsec(x) results
0.000 rad
0.000 °

How to use the arcsec(x) calculator
1. Enter a real number \(x\) such that \(|x| \ge 1\) and choose decimal places.
2. Press calculate arcsec(x). The answer is displayed in radians and degrees.
If x is outside the domain (\(-1 < x < 1\)), "NaN" is displayed.

Formulas used:
\[ \text{arcsec}(x) = \arccos\left(\frac{1}{x}\right) \quad \text{(principal value range: } [0,\pi/2) \cup (\pi/2,\pi] \text{)} \]
\[ \text{degrees} = \text{radians} \times \frac{180}{\pi} \]

Horizontal asymptote: \(\displaystyle \lim_{x\to -\infty} \text{arcsec}(x) = \frac{\pi}{2}\) and \(\displaystyle \lim_{x\to +\infty} \text{arcsec}(x) = \frac{\pi}{2}\)
Graph of inverse secant arcsec(x) showing horizontal asymptote y=π/2

More references and links