Read the two statements and choose the correct option.

I. $\sin^{-1} x$ is defined for every real $x$.

II. $\tan^{-1} x$ is defined for every real $x$.

Explanation

1. 01

   I is false: $\sin^{-1} 2$ is not defined, since $\sin$ never reaches 2.

2. 02

   II is true: $\tan$ takes every real value on $\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$.