Arctan(x) Calculator — inverse tangent function

arctan(x) = tan⁻¹(x)

domain: all real numbers (−∞, ∞)   |   range: (−π/2 , π/2) rad
given value
arctan accepts any real x (no domain restrictions)
arctan(x) results
0.785 rad
45.000 °

How to use the arctan(x) calculator
1. Enter any real number \(x\) and choose the number of decimal places.
2. Press calculate arctan(x). The answer is displayed in radians and degrees.

Formulas used:
\[ \text{arctan}(x) = y, \quad \tan(y) = x,\quad y \in (-\pi/2,\pi/2) \]
\[ \text{degrees} = \text{radians} \times \frac{180}{\pi} \]

Horizontal asymptotes: \(\displaystyle \lim_{x\to -\infty} \arctan(x) = -\frac{\pi}{2}\)   and   \(\displaystyle \lim_{x\to +\infty} \arctan(x) = \frac{\pi}{2}\)

Example: \(\arctan(1) = \pi/4 \approx 0.785\) rad ( \(45^\circ\) ), \(\arctan(0) = 0\) rad ( \(0^\circ\) )

More references and links