### Home > PC > Chapter 6 > Lesson 6.1.4 > Problem6-58

6-58.

Ryan thinks that $\sin x = 0.3$ is the same as $\sin^{−1}\left(0.3\right) = x$. Is Ryan correct? What does Ryan have to take into consideration for these two expressions?

$\sin x = 0.3$ has infinite solutions unless we are working with a restricted value of $x$.
The expression of $\sin^{− 1} 0.3 = x$ has only one solution when $\sin^{− 1} x$ is a function.