Chapter 4.1, Problem 21E

(a)

To determine

Sketch the angle $-\frac{\text{7π}}{4}$ in standard Position.

Explanation of Solution

Given:

The angle $-\frac{\text{7π}}{4}$

Concept Used:

An angle is in "standard position" when the vertex is at the origin and the initial side of the angle is along the positive x-axis.

Calculation:

A Negative angle measured in clockwise direction from the Horizontal

Thus, the initial side of the angle $-\frac{\text{7π}}{4}$ is coincides with Positive side Horizontal Axis and the Terminal Side of the angle is in the half way of first quadrant.

(b)

To determine

Sketch the angle $-\frac{\text{5π}}{2}$ in standard Position.

Explanation of Solution

Given:

The angle $-\frac{\text{5π}}{2}$

Concept Used:

An angle is in "standard position" when the vertex is at the origin and the initial side of the angle is along the positive x-axis.

Calculation:

A Negative angle measured in clockwise direction from the Horizontal

Thus, the initial side of the angle $-\frac{\text{5π}}{2}$ is coincides with Positive side Horizontal Axis and the Terminal Side of the angle coincide with the negative side of Vertical axis.