Chapter 1, Problem 56RE

To determine

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

Answer to Problem 56RE

The value of given angle in radians is $-1.1607$ radians and in degrees is $-66.501°$ degrees.

Explanation of Solution

Given information: The given angle is ${\tan }^{-1}\left(-2.3\right)$ .

Calculation:

Use graphing calculator to find the value of angle ${\tan }^{-1}\left(-2.3\right)$ 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 $-1.1607$ 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 $-66.501°$ .

Therefore, the value of given angle in radians is $-1.1607$ radians and in degrees is $-66.501°$ degrees.