To graph: The given angle in the standard position: 7 π 3 r a d

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter C, Problem 10E

(a)

To determine

To graph: The given angle in the standard position:   7π3 rad

Expert Solution

Explanation of Solution

Given information:

Graph:

Interpretation:

The given value of radian is 7π3rad . It is positive angle value that means the rotation is measured from the x axis as counter-clockwise direction.

Know that:

In one full rotation the angle is 2π . And the relation between the degree and radian is shown by below expression:

Now, rewrite the given angle in the standard position:

π3=1803=60°

Thus, the given angle 7π3rad measures a full revolution plus 60° from the positive x axis.

(b)

To determine

Expert Solution

Explanation of Solution

Given information:

Graph:

Interpretation:

The given value of radian is 3rad . It is negative angle value that means the rotation is measured from the x axis as clockwise direction.

Know that:

In one full rotation the angle is 2π . And the relation between the degree and radian is shown by below expression: