Find all solutions of the given equation in the interval [0, 2.1). sin 5x + sin 3x 0 =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 50E
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Find all solutions of the given equation in the
interval [0, 2л).
sin 5x + sin 3x = 0
л 3л 5л 1л 9л 11л 13л 15л
X= -
?
7
7
4 4 4 4 4
9л 11л 13л 15л
x = 0,
7
4
4
4 4
л Зл
x = 0,
5л 3л 1л 9л 11л 13л 15л
3
3
3
2
4
4 2 4
4 4 4 4
л Зл
5л Зл 7 п
X=
7
7
2
?
4 2 4
4
2
4
5л 3л 7л 9п 11л 13л
15л
x = П,
4
2'4'4
П
4
3
7
п,
4 4 4
Transcribed Image Text:Find all solutions of the given equation in the interval [0, 2л). sin 5x + sin 3x = 0 л 3л 5л 1л 9л 11л 13л 15л X= - ? 7 7 4 4 4 4 4 9л 11л 13л 15л x = 0, 7 4 4 4 4 л Зл x = 0, 5л 3л 1л 9л 11л 13л 15л 3 3 3 2 4 4 2 4 4 4 4 4 л Зл 5л Зл 7 п X= 7 7 2 ? 4 2 4 4 2 4 5л 3л 7л 9п 11л 13л 15л x = П, 4 2'4'4 П 4 3 7 п, 4 4 4
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