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 9E

(a)

To determine

To graph:

The given angle in the standard position:

  315°

Expert Solution

Explanation of Solution

Given information:

  315°

Graph:

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter C, Problem 9E , additional homework tip  1

Interpretation:

The given value of radian is 315° . 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 360° .

Now,

  315°=36045

Thus, the given angle 315° measures rotation of full revolution less than 45° from the positive x axis.

(b)

To determine

To graph:

The given angle in the standard position:

  3π4rad

Expert Solution

Explanation of Solution

Given information:

  3π4rad

Graph:

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter C, Problem 9E , additional homework tip  2

Interpretation:

The given value of radian is 3π4rad . 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:

  3π4rad=3π4×180°π3π4rad=3×45°3π4rad=135°

Thus, the given angle 3π4rad measures angle 135° or it is 34 of the half revolution (180°) from the positive x axis.

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