Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

1st Edition

ISBN: 9780078682278

Author: McGraw-Hill, Berchie Holliday

Publisher: Glencoe/McGraw-Hill

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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 5.1, Problem 46E

To determine

A coterminal angle that is between 0∘ and 360∘ ,if −280∘ is in standard position. State the quadrant in which the terminal side lies.

Expert Solution & Answer

Answer to Problem 46E

80∘ in quadrant I

Explanation of Solution

Given information: −280∘

Calculation:

θ=−280∘

This is the angle given.

We want a coterminal angle between 0 and 360 degrees.

We need to add or subtract 360∘s at a time until we fall into this range.

By doing so we are making a full revolution, guaranteeing that our new angle is coterminal with the old.

Since we are below this range, we add,

−280+360=80∘

This will be in quadrant I and it is coterminal with the original.

80∘ in quadrant I

Chapter 5.1, Problem 45E

Chapter 5.1, Problem 47E

Chapter 5 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 5.1 - Prob. 1CFU Ch. 5.1 - Prob. 2CFU Ch. 5.1 - Prob. 3CFU Ch. 5.1 - Prob. 4CFU Ch. 5.1 - Prob. 5CFU Ch. 5.1 - Prob. 6CFU Ch. 5.1 - Prob. 7CFU Ch. 5.1 - Prob. 8CFU Ch. 5.1 - Prob. 9CFU Ch. 5.1 - Prob. 10CFU

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