Chapter 4, Problem 1CR

a.

To determine

To sketch: The given angle in standard position.

Explanation of Solution

Given Information: Angle is $\frac{11\pi }{4}$ .

Sketch of angle:

  

b.

To determine

The quadrant in which the given angle lies.

Answer to Problem 1CR

Quadrant II.

Explanation of Solution

Given Information: Angle is $\frac{11\pi }{4}$ .

The angle lies in second quadrant.

c.

To determine

One positive and one negative coterminal angle.

Answer to Problem 1CR

Positive coterminal angle is $\frac{3\pi }{4}$ negative coterminal angle is $\frac{-5\pi }{4}$ .

Explanation of Solution

Given Information: Angle is $\frac{11\pi }{4}$ .

The positive coterminal angle is given by $\frac{11\pi }{4}-2\pi =\frac{11\pi -8\pi }{4}=\frac{3\pi }{4}$ .

The negative coterminal angle is given by $\frac{11\pi }{4}-4\pi =\frac{11\pi -16\pi }{4}=\frac{-5\pi }{4}$ .