Chapter 6.1, Problem 47E

To determine

To calculate; the angle between $0$ and $2\pi$ which is co-terminal with the given angle.

Answer to Problem 47E

Solution: $\pi$ is co-terminal with $87\pi$ .

Explanation of Solution

Subtract $2\pi$ from given angle continuously till the result lie between the given interval.

  $\begin{array}{l}87\pi -2\pi =85\pi \\ 85\pi -2\pi =83\pi \\ .\\ .\\ .\\ 3\pi -2\pi =\pi \end{array}$

Hence, $\pi$ is co-terminal with $87\pi$ .