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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Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which…

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Question

Chapter 5.1, Problem 50E

To determine

A coterminal angle that is between 0∘ and 360∘ ,if −989∘ is in standard position. State the quadrant in which the terminal side lies.

Expert Solution & Answer

Answer to Problem 50E

91∘ in quadrant II

Explanation of Solution

Given information: −989∘

Calculation:

θ=−989∘

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,

−989+360=−629+360=−269+360=91∘

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

91∘ in quadrant II

Chapter 5.1, Problem 49E

Chapter 5.1, Problem 51E

Chapter 5 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

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A coterminal angle that is between 0 ∘ and 360 ∘ ,if − 989 ∘ is in standard position. State the quadrant in which the terminal side lies.