CPM Homework Help : PC Problem 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?

Answer:

$\sin x = 0.3$ 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.