Chapter 4, Problem 4RE

a.

To determine

To sketch: The given angle in standard position.

Explanation of Solution

Given Information: Angle is $\frac{11\pi }{6}$ .

Sketch of angle:

  

b.

To determine

The quadrant in which the given angle lies.

Answer to Problem 4RE

Quadrant $IV$ .

Explanation of Solution

Given Information: Angle is $\frac{11\pi }{6}$ .

The angle lies in fourth quadrant.

c.

To determine

One positive and one negative coterminal angle.

Answer to Problem 4RE

Positive coterminal angle is $\frac{23\pi }{6}$ negative coterminal angle is $-\frac{\pi }{6}$ .

Explanation of Solution

Given Information: Angle is $\frac{11\pi }{6}$ .

The positive coterminal angle is given by $\frac{11\pi }{6}+2\pi =\frac{23\pi }{6}$ .

The negative coterminal angle is given by $\frac{11\pi }{6}-2\pi =-\frac{\pi }{6}$ .