Chapter 4.1, Problem 38E

(a)

To determine

Sketch the angle ${60}^0$ in standard Position.

Explanation of Solution

Given:

The angle ${60}^0$

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 Positive angle measured in counter clockwise direction from the Horizontal (x-axis).

Thus, the initial side of the angle ${60}^0$ is coincides with Positive side Horizontal Axis and the Terminal Side of the angle lies two − third way between the positive side of Horizontal axis and the Positive side of the Vertical axis.

(b)

To determine

Sketch the angle ${180}^0$ in standard Position.

Explanation of Solution

Given:

The angle ${180}^0$

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 Positive angle measured in counter clockwise direction from the Horizontal (x-axis).

Thus, the initial side of the angle ${180}^0$ is coincides with Positive side Horizontal Axis and the Terminal Side of the angle coincide with the Negative side of Horizontal Axis.