Chapter 1, Problem 55RE

To determine

To find: The measure of the given angle in radians and degrees.

Answer to Problem 55RE

The value of given angle in radian is 0.6435 radians and in degrees is $36.87°$ .

Explanation of Solution

Given information: The given angle is ${\sin }^{-1}\left(0.6\right)$ .

Calculation:

Use graphing calculator to find the value of angle ${\sin }^{-1}\left(0.6\right)$ is radians and degree.

To find the value of the angle is radians, on the calculator and enter the keystrokes given below as:

  $\boxed{2\text{nd}}\boxed{\text{SIN}}\boxed{\text{MODE}}$

Now, select radian and enter the keystrokes:

  $\boxed{2\text{nd}}\boxed{\text{MODE}}\boxed{\text{ENTER}}$

So, the value of the angle in radians is 0.6435 radians.

To find the value of the angle is degrees, on the calculator and enter the keystrokes given below as:

  $\boxed{2\text{nd}}\boxed{\text{SIN}}\boxed{\text{MODE}}$

Now, select degrees and enter the keystrokes:

  $\boxed{2\text{nd}}\boxed{\text{MODE}}\boxed{\text{ENTER}}$

So, the value of the angle in degrees is $36.87°$ .

Therefore, the value of given angle in radian is 0.6435 radians and in degrees is $36.87°$ .