(b) Find an angle between 0 and 2pi that is coterminal with - (4pi)/7

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Trigonometry
Section1.3: Right Triangle Trigonometry
Problem 9ECP
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Question

(b) Find an angle between 0 and 2pi that is coterminal with - (4pi)/7

Expert Solution
Step 1

We have given an angle

θ=-4π7

Coterminal angle is given as 

θc=2kπ+θ

Where, k, is any integer. 

To get coterminal angle in 0,2π

Put k=1

θc=2π+θ

θc=2π-4π7

θc=14π-4π7

θc=10π7

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