Evaluating Inverse Trigonometric Functions

$$\frac{\pi}{2}$$

$$\frac{\pi}{6}$$

$$0$$

$$-\frac{\pi}{2}$$

$$\frac{\pi}{3}$$

Inverse trigonometric functions are the functions that reverse the action of the trigonometric functions, providing the angle that corresponds to a given trigonometric ratio.

The range of $$\sin^{-1}(x)$$ is $$[-\frac{\pi}{2}, \frac{\pi}{2}]$$ .

The range of $$\tan^{-1}(x)$$ is $$(-\frac{\pi}{2}, \frac{\pi}{2})$$ .

The domain of $$\sin^{-1}(x)$$ is $$[-1, 1]$$ .

The domain of $$\tan^{-1}(x)$$ is all real numbers, $$(-\infty, \infty)$$ .