Chapter 4.1, Problem 14E

a.

To determine

To sketch: the angle $\frac{5\pi }{2}$ in standard position.

Answer to Problem 14E

  

Explanation of Solution

Concept Used:

Radian to degree conversion:

Multiply radians by $\frac{180°}{\pi \text{ radian}}$

First convert the angle from $\frac{5\pi }{2}$ radians into degrees using above formula.

  $\begin{array}{c}\frac{5\pi }{2}=\frac{5\pi }{2}\times \frac{180°}{\pi }\\ =450°\end{array}$

Now, $450°=360°+90°$

The sketch of the angle $450°$ in standard position is given below:

b.

To determine

To sketch: the angle $4$ in standard position.

Answer to Problem 14E

  

Explanation of Solution

Concept Used:

Radian to degree conversion:

Multiply radians by $\frac{180°}{\pi \text{ radian}}$

First convert the angle from $4$ radians into degrees using above formula.

  $\begin{array}{c}4=4\times \frac{180°}{\pi }\\ =229.183°\end{array}$

The sketch of the angle $229.183°$ in standard position is given below: