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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Question

Chapter 5, Problem 43SGA

To determine

To find:The angle between 0∘ and 360∘ that is coterminal with all angles represented by 310∘+360∘k, where k is any integer.

Expert Solution & Answer

Answer to Problem 43SGA

θ=310∘

Explanation of Solution

Given information: 310∘+360∘k,

Calculation:

The expression for a group of angles, all coterminal with an angle would be

coterminal angle = θ∘+360∘k where k is an integer

What we are looking for is a coterminal angle with 310∘ that is between 0∘ and 360∘ .

Although there are infinite coterminal angles for any angle, only one of them will be between 0∘ and 360∘ because if you add or subtract 360∘ from that angle it will push it out of the range of 0∘ and 360∘ .

Therefore 310∘ is the angle we’re looking for.

θ=310∘

Chapter 5, Problem 42SGA

Chapter 5, Problem 44SGA

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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The angle between 0 ∘ and 360 ∘ that is coterminal with all angles represented by 310 ∘ + 360 ∘ k , where k is any integer.