SOLUTION: find all solution interval [0,2pi) 4sin(x)-3sin(2x)=0

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Question 475258: find all solution interval [0,2pi)
4sin(x)-3sin(2x)=0
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
find all solution interval [0,2pi)
4sin(x)-3sin(2x)=0
**
4sin(x)-3sin(2x)=0
4sin(x)-3(2sinxcosx=0
4sin(x)-6(sinxcosx)=0
2[2sinx-3sinxcosx]=0
(sinx)(2-3cosx)=0
sinx=0
x=0
..
2-3cosx=0
-3cosx=-2
cosx=2/3
Arccos(2/3)=.8411 and 5.4421 radians (quadrants I and IV)
ans:
x=0, .8411 and 5.4421 radians