Chapter 9.2, Problem 21E

To determine

To find: The way to determine the measure of the angle in both degree and the radian for the given statement.

Answer to Problem 21E

The method to determine the angel in degree or radian is determined.

Explanation of Solution

Given:

The given statement is that the terminal side of an angle in the standard position rotates one sixth of the revolution counter clockwise from the positive x axis.

Calculation:

Consider that the full revolution is of $360°$ or $2\pi$ radians.

The terminal side rotates one sixth of the revolution from the positive $x$ axis.

Therefore, multiply the angle by $\frac{1}{6}$ to obtain the rotation in degrees as $360°\left(\frac{1}{6}\right)=60°$

In radian one complete revolution is of $2\pi$ . Then to obtain the angel in radian divide the angle by $\frac{1}{6}$ as,

  $2\pi \left(\frac{1}{6}\right)=\frac{\pi }{3}\text{radians}$