Chapter 7, Problem 1RE

Find the exact value of each expression. Do not use a calculator.

${\sin }^{-1}1$

To determine

To find: The exact value of expression ${\sin }^{-1}1$.

Answer to Problem 1RE

The exact value of expression ${\sin }^{-1}1=\frac{\pi }{2}$.

Explanation of Solution

Given:

${\sin }^{-1}1$

Calculation:

Let $A={\sin }^{-1}1$,

$\sin A=1$

Value of $\text{A}$ for which $\text{sine}$ funtion $\text{= 1}$ is $\frac{\pi }{2}$.