Arccsc(x) Calculator — inverse cosecant function

arccsc(x) = csc⁻¹(x)

domain: |x| ≥ 1   |   range: [–π/2 , 0) ∪ (0 , π/2] rad
given value
domain: x ≤ -1 or x ≥ 1 (otherwise "NaN")
arccsc(x) results
1.571 rad
90.000 °

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

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

Horizontal asymptote: \(\displaystyle \lim_{x\to -\infty} \text{arccsc}(x) = 0\) and \(\displaystyle \lim_{x\to +\infty} \text{arccsc}(x) = 0\)
Graph of inverse cosecant arccsc(x) showing horizontal asymptote y=0

More references and links