Solve for x, if 0 Sx S27. Write your answers in exact values only. sin x+ 2sin x cos x= 0

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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Solve for x, if 0 SxS2n. Write your answers in exact values only.
sin x + 2sin x cos x = 0
Transcribed Image Text:Solve for x, if 0 SxS2n. Write your answers in exact values only. sin x + 2sin x cos x = 0
Expert Solution
Step 1

We have to solve the trigonometric equation for the condition 0x2π,

sinx+2sinx cosx=0

Solving the equation by taking common term,

sinx+2sinx cosx=0sinx1+cosx=0

Either,

sinx=0 then

x=0,π,2π (in 0x2π)

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