Chapter 4.1, Problem 42E

(a)

To determine

Sketch the angle $-{450}^0$ in standard Position.

Answer to Problem 42E

Explanation of Solution

Given:

The angle $-{450}^0$

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:

  

Calculation:

A Negative angle measured in clockwise direction from the Horizontal axis .

Thus, the initial side of the angle $-{450}^0$ is coincides with Positive side Horizontal Axis and the Terminal Side of the angle coincided with the negative side of the vertical axis.With full rotation in clockwise direction.

(b)

To determine

Sketch the angle ${600}^0$ in standard Position.

Answer to Problem 42E

Explanation of Solution

Given:

The angle ${600}^0$

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 ${600}^0$ is coincides with Positive side Horizontal Axis and the Terminal Side of the angle lies two − third way from negative Horizontal axis and the negative side of the vertical axis with a full round into counter clock wise direction.