Chapter 1.6, Problem 29E

To determine

To find: The measure of angle ${\tan }^{-1}\left(-5\right)$ in radian and degree.

Answer to Problem 29E

Themeasure of angle in radian is $-1.3734$ and degrees is $-78.69°$ .

Explanation of Solution

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

Calculation:

To find the conversion of given angle into radian, use the calculator and enter the keystrokes.

  $\boxed{2\text{nd}}\boxed{\text{TAN}}\boxed{(-)}\boxed{5}\boxed{)}$

Press $\boxed{\text{MODE}}$ and select the radian mode then quit the window. Now, press $\boxed{\text{ENTER}}$ key.

  ${\tan }^{-1}\left(-5\right)=-1.3734$

To find the conversion of given angle into degree, use the calculator and enter the keystrokes.

  $\boxed{2\text{nd}}\boxed{\text{TAN}}\boxed{(-)}\boxed{5}\boxed{)}$

Select the degree mode then quit the window. Now, press $\boxed{\text{ENTER}}$ key.

  ${\tan }^{-1}\left(-5\right)=-78.69°$

Therefore, the measure of angle in radian is $-1.3734$ and degrees is $-78.69°$ .