Chapter 0.6, Problem 30E

To determine

To calculate: The measure of the angle ${\cos }^{-1}\left(0.7\right)$ is radian and degrees.

Answer to Problem 30E

The measure of angle ${\cos }^{-1}\left(0.7\right)$ in radian is $0.7953988302$ and degrees is $45.572996$ .

Explanation of Solution

Given information: The given angle is ${\cos }^{-1}\left(0.7\right)$ .

Calculation:

To convert the angle into radian, set the calculator in radian mode and enter the angle ${\cos }^{-1}\left(0.7\right)$ .

  ${\cos }^{-1}\left(0.7\right)=0.7953988302$

To convert the angle into degree, set the calculator in degree mode and enter the angle ${\cos }^{-1}\left(0.7\right)$ .

  ${\cos }^{-1}\left(0.7\right)=45.572996$

Thus, the measure of angle ${\cos }^{-1}\left(0.7\right)$ in radian is $0.7953988302$ and degrees is $45.572996$ .