以下は、逆三角関数の定義域に基づいた代表的な値です：
| \( x \) | \(-\sqrt{3}\) | \(-1\) | \(-\frac{\sqrt{3}}{2}\) | \(-\frac{1}{\sqrt{2}}\) | \(-\frac{1}{2}\) | \(0\) | \(\frac{1}{2}\) | \(\frac{1}{\sqrt{2}}\) | \(\frac{\sqrt{3}}{2}\) | \(1\) | \(\sqrt{3}\) |
|---|---|---|---|---|---|---|---|---|---|---|---|
| \(\arcsin x\) | – | \(-\frac{\pi}{2}\) | \(-\frac{\pi}{3}\) | \(-\frac{\pi}{4}\) | \(-\frac{\pi}{6}\) | \(0\) | \(\frac{\pi}{6}\) | \(\frac{\pi}{4}\) | \(\frac{\pi}{3}\) | \(\frac{\pi}{2}\) | – |
| \(\arccos x\) | – | \(\pi\) | \(\frac{5\pi}{6}\) | \(\frac{3\pi}{4}\) | \(\frac{2\pi}{3}\) | \(\frac{\pi}{2}\) | \(\frac{\pi}{3}\) | \(\frac{\pi}{4}\) | \(\frac{\pi}{6}\) | \(0\) | – |
| \(\arctan x\) | \(-\frac{\pi}{3}\) | \(-\frac{\pi}{4}\) | – | – | – | \(0\) | – | – | – | \(\frac{\pi}{4}\) | \(\frac{\pi}{3}\) |