Is there any serious difference between 5pi/3 and -pi/3? I had an online homework question that rejected 5pi/3 but would accept -pi/3. The question was to find angle y whose sine is -(sqrt(3)/2) and in the interval [-pi/2,pi/2]. Is the answer -pi/3 because of some negative value clockwise rotation about the unit circle, or is this just some program error?

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Is there any serious difference between 5pi/3 and -pi/3? I had an online homework question that rejected 5pi/3 but would accept -pi/3. The question was to find angle y whose sine is -(sqrt(3)/2) and in the interval [-pi/2,pi/2]. Is the answer -pi/3 because of some negative value clockwise rotation about the unit circle, or is this just some program error?

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Graph of sine function

Trigonometry homework question answer, step 1, image 1

Period of sine function is 2π because it repeats itself after an interval of 2π.

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