Determine whether the statement is true or false: "The equations sin 2x = 1 and sin 2x = 1/2 have the same number of solutions on the interval [0, 2π)". If the statement is false, make the necessary change(s) to produce a true statement.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 41E
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Determine whether the statement is true or false: "The equations sin 2x = 1 and sin 2x = 1/2 have the same number of solutions on the interval [0, 2π)". If the statement is false, make the necessary change(s) to produce a true statement.

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