(a) Explanation Given: The angle 270 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 270 0 is coincides with Positive side Horizontal Axis and the Terminal Side of the angle coincides with the negative sides of the Vertical axis. (b) To determine Sketch the angle − 120 0 in standard Position. Explanation Given: The angle − 120 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 − 120 0 is coincides with Positive side Horizontal Axis and the Terminal Side of the angle lies one − third way between the negative side of Vertical axis and the Negative side of the Horizontal axis.

Precalculus with Limits: A Graphing Approach

7th Edition

ISBN: 9781305071711

Author: Ron Larson

Publisher: Brooks/Cole

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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

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Question

Chapter 4.1, Problem 40E

(a)

To determine

Sketch the angle $2700$ in standard Position.

(a)

Expert Solution

Explanation of Solution

Given:

The angle $2700$

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:

Precalculus with Limits: A Graphing Approach, Chapter 4.1, Problem 40E , additional homework tip 1

A Positive angle measured in counter clockwise direction from the Horizontal (x-axis).
Precalculus with Limits: A Graphing Approach, Chapter 4.1, Problem 40E , additional homework tip 2

Precalculus with Limits: A Graphing Approach, Chapter 4.1, Problem 40E , additional homework tip 2

Precalculus with Limits: A Graphing Approach, Chapter 4.1, Problem 40E , additional homework tip 3

Thus, the initial side of the angle $2700$ is coincides with Positive side Horizontal Axis and the Terminal Side of the angle coincides with the negative sides of the Vertical axis.

(b)

To determine

Sketch the angle $− 1200$ in standard Position.

(b)

Expert Solution

Explanation of Solution

Given:

The angle $− 1200$

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:

Precalculus with Limits: A Graphing Approach, Chapter 4.1, Problem 40E , additional homework tip 4

Calculation:

A Negative angle measured in clockwise direction from the Horizontal axis
. Precalculus with Limits: A Graphing Approach, Chapter 4.1, Problem 40E , additional homework tip 5

Precalculus with Limits: A Graphing Approach, Chapter 4.1, Problem 40E , additional homework tip 5

Precalculus with Limits: A Graphing Approach, Chapter 4.1, Problem 40E , additional homework tip 6

Thus, the initial side of the angle $− 1200$ is coincides with Positive side Horizontal Axis and the Terminal Side of the angle lies one − third way between the negative side of Vertical axis and the Negative side of the Horizontal axis.

Chapter 4.1, Problem 39E

Chapter 4.1, Problem 41E

Chapter 4 Solutions

Precalculus with Limits: A Graphing Approach

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Prob. 30E Ch. 4.8 - Prob. 31E Ch. 4.8 - Prob. 32E Ch. 4.8 - Prob. 33E Ch. 4.8 - Prob. 34E Ch. 4.8 - Prob. 35E Ch. 4.8 - Prob. 36E Ch. 4.8 - Prob. 37E Ch. 4.8 - Prob. 38E Ch. 4.8 - Prob. 39E Ch. 4.8 - Prob. 40E Ch. 4.8 - Prob. 41E Ch. 4.8 - Prob. 42E Ch. 4.8 - Prob. 43E Ch. 4.8 - Prob. 44E Ch. 4.8 - Prob. 45E Ch. 4.8 - Prob. 46E Ch. 4.8 - Prob. 47E Ch. 4.8 - Prob. 48E Ch. 4.8 - Prob. 49E Ch. 4.8 - Prob. 50E Ch. 4.8 - Prob. 51E Ch. 4.8 - Prob. 52E Ch. 4.8 - Prob. 53E Ch. 4.8 - Prob. 54E Ch. 4.8 - Prob. 55E Ch. 4.8 - Prob. 56E Ch. 4.8 - Prob. 57E Ch. 4.8 - Prob. 58E Ch. 4.8 - Prob. 59E Ch. 4.8 - Prob. 60E Ch. 4.8 - Prob. 61E Ch. 4.8 - Prob. 62E Ch. 4.8 - Prob. 63E Ch. 4.8 - Prob. 64E Ch. 4.8 - Prob. 65E Ch. 4.8 - Prob. 66E Ch. 4.8 - Prob. 67E Ch. 4.8 - Prob. 68E Ch. 4.8 - Prob. 69E Ch. 4.8 - Prob. 70E Ch. 4.8 - Prob. 71E Ch. 4.8 - Prob. 72E Ch. 4.8 - Prob. 73E Ch. 4.8 - Prob. 74E Ch. 4.8 - Prob. 75E Ch. 4.8 - Prob. 76E Ch. 4.8 - Prob. 77E Ch. 4.8 - Prob. 78E Ch. 4.8 - Prob. 79E Ch. 4.8 - Prob. 80E Ch. 4.8 - Prob. 81E Ch. 4.8 - Prob. 82E Ch. 4.8 - Prob. 83E Ch. 4.8 - Prob. 84E Ch. 4 - Prob. 1RE Ch. 4 - Prob. 2RE Ch. 4 - Prob. 3RE Ch. 4 - Prob. 4RE Ch. 4 - Prob. 5RE Ch. 4 - Prob. 6RE Ch. 4 - Prob. 7RE Ch. 4 - Prob. 8RE Ch. 4 - Prob. 9RE Ch. 4 - Prob. 10RE Ch. 4 - Prob. 11RE Ch. 4 - Prob. 12RE Ch. 4 - Prob. 13RE Ch. 4 - Prob. 14RE Ch. 4 - Prob. 15RE Ch. 4 - Prob. 16RE Ch. 4 - Prob. 17RE Ch. 4 - Prob. 18RE Ch. 4 - Prob. 19RE Ch. 4 - Prob. 20RE Ch. 4 - Prob. 21RE Ch. 4 - Prob. 22RE Ch. 4 - Prob. 23RE Ch. 4 - Prob. 24RE Ch. 4 - Prob. 25RE Ch. 4 - Prob. 26RE Ch. 4 - Prob. 27RE Ch. 4 - Prob. 28RE Ch. 4 - Prob. 29RE Ch. 4 - Prob. 30RE Ch. 4 - Prob. 31RE Ch. 4 - Prob. 32RE Ch. 4 - Prob. 33RE Ch. 4 - Prob. 34RE Ch. 4 - Prob. 35RE Ch. 4 - Prob. 36RE Ch. 4 - Prob. 37RE Ch. 4 - Prob. 38RE Ch. 4 - Prob. 39RE Ch. 4 - Prob. 40RE Ch. 4 - Prob. 41RE Ch. 4 - Prob. 42RE Ch. 4 - Prob. 43RE Ch. 4 - Prob. 44RE Ch. 4 - Prob. 45RE Ch. 4 - Prob. 46RE Ch. 4 - Prob. 47RE Ch. 4 - Prob. 48RE Ch. 4 - 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Prob. 7CT Ch. 4 - Prob. 8CT Ch. 4 - Prob. 9CT Ch. 4 - Prob. 10CT Ch. 4 - Prob. 11CT Ch. 4 - Prob. 12CT Ch. 4 - Prob. 13CT Ch. 4 - Prob. 14CT Ch. 4 - Prob. 15CT Ch. 4 - Prob. 16CT Ch. 4 - Prob. 17CT Ch. 4 - Prob. 18CT Ch. 4 - Prob. 19CT Ch. 4 - Prob. 20CT Ch. 4 - Prob. 21CT Ch. 4 - Prob. 22CT Ch. 4 - Prob. 23CT Ch. 4 - Prob. 24CT Ch. 4 - Prob. 1PFR Ch. 4 - Prob. 2PFR Ch. 4 - Prob. 3PFR Ch. 4 - Prob. 4PFR Ch. 4 - Prob. 5PFR Ch. 4 - Prob. 6PFR Ch. 4 - Prob. 7PFR Ch. 4 - Prob. 8PFR Ch. 4 - Prob. 9PFR Ch. 4 - Prob. 10PFR Ch. 4 - Prob. 11PFR Ch. 4 - Prob. 12PFR Ch. 4 - Prob. 13PFR Ch. 4 - Prob. 14PFR Ch. 4 - Prob. 15PFR Ch. 4 - Prob. 16PFR Ch. 4 - Prob. 17PFR Ch. 4 - Prob. 18PFR Ch. 4 - Prob. 19PFR Ch. 4 - Prob. 20PFR Ch. 4 - Prob. 21PFR Ch. 4 - Prob. 22PFR Ch. 4 - Prob. 23PFR Ch. 4 - Prob. 24PFR

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Sketch the angle 270 0 in standard Position.

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Sketch the angle 2700<m:math><m:mrow><m:msup><m:mrow><m:mn>270</m:mn></m:mrow><m:mn>0</m:mn></m:msup></m:mrow></m:math> in standard Position.

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Sketch the angle − 1200<m:math><m:mrow><m:mtext> </m:mtext><m:mo>−</m:mo><m:mtext> </m:mtext><m:msup><m:mrow><m:mn>120</m:mn></m:mrow><m:mn>0</m:mn></m:msup></m:mrow></m:math> in standard Position.

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Sketch the angle $2700$ in standard Position.

Sketch the angle $− 1200$ in standard Position.