Chapter 0.6, Problem 29E

To determine

To calculate: The measure of the angle ${\tan }^{-1}\left(-5\right)$ is radian and degrees.

Answer to Problem 29E

The measure of angle ${\tan }^{-1}\left(-5\right)$ in radian is $-1.373400767$ and degrees is $-78.69006753$ .

Explanation of Solution

Given information: The given angle is ${\tan }^{-1}\left(-5\right)$ .

Calculation:

To convert the angle into radian, set the calculator in radian mode and enter the angle ${\tan }^{-1}\left(-5\right)$ .

  ${\tan }^{-1}\left(-5\right)=-1.373400767$

To convert the angle into degree, set the calculator in degree mode and enter the angle ${\tan }^{-1}\left(-5\right)$ .

  ${\tan }^{-1}\left(-5\right)=-78.69006753$

Thus, the measure of angle ${\tan }^{-1}\left(-5\right)$ in radian is $-1.373400767$ and degrees is $-78.69006753$ .