1 Answer

Pedroca · Answer 1 · 2023-09-13T19:57:50+0000

Solution:

What is the domain and range of arcsine?

The function is

$f(x)=\sin^(-1)(x)$

The graph of the function is shown below

From the graph above;

We can deduce that the domain of the function is

$\begin{gathered} -1\leq x\leq1 \\ In\text{ interval notation;} \\ [-1,1] \end{gathered}$

Hence, the domain is

$-1\leq x\leq1$

From the graph,

The range of the given function is

$-(\pi)/(2)\leq y\leq(\pi)/(2)$

Hence, the range is

$-(\pi)/(2)\leqslant y\leqslant(\pi)/(2)$

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