Chapter C, Problem 3E

(a)

To determine

To calculate:

The value of following radian into degree

  $4\pi$

Answer to Problem 3E

  $4\pi$ into degree is $720°$ .

Explanation of Solution

Given information:

  $4\pi$

Formula Used:

The relation between the degree and radian is shown by below expression:

  $1rad=\frac{180°}{\pi }$

Calculation:

The given value of radian is $4\pi$ .

Convert it into radian as:

  $\begin{array}{l}4\pi =\frac{180°}{\pi }\times 4\pi \\ 4\pi =180\times 4\\ 4\pi =720°\end{array}$

(b)

To determine

To calculate:

The value of following radian into degree

  $-\frac{3\pi }{8}$

Answer to Problem 3E

  $-\frac{3\pi }{8}$ into degree is $67.5°$ .

Explanation of Solution

Given information:

  $-\frac{3\pi }{8}$

Formula Used:

The relation between the degree and radian is shown by below expression:

  $1rad=\frac{180°}{\pi }$

Calculation:

The given value of radian is $-\frac{3\pi }{8}$ .

Convert it into radian as:

  $\begin{array}{l}-\frac{3\pi }{8}=\frac{180°}{\pi }\times -\frac{3\pi }{8}\\ -\frac{3\pi }{8}=180\times -\frac{3}{8}\\ -\frac{3\pi }{8}=67.5°\end{array}$