Solve the equation 2 sin²(x) = sin (x) for all solutions over [0, 2]. Which of the following solving process is correct? a) 2sin²(x) = sin (x) 2sin?(x) _ sin (x) sin (x) b) 2sin (x) – sin (x) = 0 sin (x) sin (x) (2sin (x) – 1) = 0 2 sin (x) = 1 %3D sin (x) = 0 or 2sin (x) – 1 = 0 sin (x) * x = 0, n or x = 6. Sm x = 6 6 Option (a) Option (b)

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 the equation 2 sin²(x) = sin (x) for all solutions over [0, 2].
Which of the following solving process is correct?
a) 2sin?(x) = sin (x)
2sin? (x) sin (x)
sin (x)
b) 2sin? (x) – sin (x) = 0
sin (x)
sin (x) (2sin (x) – 1) = 0
2 sin (x) = 1
%3D
sin (x) = 0
2sin (x) – 1 = 0
or
sin (x)
x = 0, n
or
x =
2
6' 6
X =
6
Option (a)
Option (b)
Transcribed Image Text:Solve the equation 2 sin²(x) = sin (x) for all solutions over [0, 2]. Which of the following solving process is correct? a) 2sin?(x) = sin (x) 2sin? (x) sin (x) sin (x) b) 2sin? (x) – sin (x) = 0 sin (x) sin (x) (2sin (x) – 1) = 0 2 sin (x) = 1 %3D sin (x) = 0 2sin (x) – 1 = 0 or sin (x) x = 0, n or x = 2 6' 6 X = 6 Option (a) Option (b)
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