Chapter 4, Problem 4RE

(a)

To determine

Sketch the angle in standard position

Answer to Problem 4RE

The angle in standard position could be shown as below:

  

Explanation of Solution

Given:

The angle given is ${280}^{\circ }$

Since, given angle is positive, so it can be represented on the graph by rotating in anticlockwise direction.

(b)

To determine

Determine the quadrant in which the angle lies

Answer to Problem 4RE

The angle lies in fourth quadrant

Explanation of Solution

Given:

The angle given is ${280}^{\circ }$

Since, ${280}^{\circ }={180}^{\circ }+{100}^{\circ }$

(c)

To determine

Determine the two co-terminal angles (one positive and one negative)

Answer to Problem 4RE

The positive co-terminal angle is ${640}^{\circ }$

The negative co-terminal angle is $-{80}^{\circ }$

Explanation of Solution

Given:

The given angle is ${280}^{\circ }$

The positive co-terminal angel can be obtained as

  ${280}^{\circ }+{360}^{\circ }={640}^{\circ }$

The negative co-terminal angle can be obtained as

  ${280}^{\circ }-{360}^{\circ }=-{80}^{\circ }$