BuyFind

Single Variable Calculus: Concepts...

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

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:

  7π3rad

Expert Solution

Explanation of Solution

Given information:

  7π3rad

Graph:

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter C, Problem 10E , additional homework tip  1

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:

  πrad=180°

Now, rewrite the given angle in the standard position:

  7π3rad=6π3+π37π3rad=2π+π37π3rad=2π+π3

Since, πrad=180°

  π3=1803=60°

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

(b)

To determine

To graph:

The given angle in the standard position:

  3rad

Expert Solution

Explanation of Solution

Given information:

  3rad

Graph:

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter C, Problem 10E , additional homework tip  2

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:

  πrad=180°1rad=180°π

Now, rewrite the given angle in the standard position:

  3rad=3×180°π3rad=172°

Thus, the given angle 3rad measures angle 172° less than half revolution (180°) from the positive x axis.

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