Solution:
What is the domain and range of arcsine?
The function is
[tex]f(x)=\sin^{-1}(x)[/tex]
The graph of the function is shown below
From the graph above;
We can deduce that the domain of the function is
[tex]\begin{gathered} -1\leq x\leq1 \\ In\text{ interval notation;} \\ [-1,1] \end{gathered}[/tex]
Hence, the domain is
[tex]-1\leq x\leq1[/tex]
From the graph,
The range of the given function is
[tex]-\frac{\pi}{2}\leq y\leq\frac{\pi}{2}[/tex]
Hence, the range is
[tex]-\frac{\pi}{2}\leqslant y\leqslant\frac{\pi}{2}[/tex]
