SOLUTION: 2 sin 2x cos x + 3 sin x=0 Find all solutions in interval (0,2pi)

SOLUTION: 2 sin 2x cos x + 3 sin x=0 Find all solutions in interval (0,2pi)

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Question 801922: 2 sin 2x cos x + 3 sin x=0 Find all solutions in interval (0,2pi)

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
2sin^2x cos x + 3 sin x=0 Find all solutions in interval (0,2pi)
***
2sin^2xcosx+3sinx=0
sinx(2sinxcosx+3)=0
..
sinx=0
x=π
note: 0 not in domain of specified interval(0,2pi)
..
2sinxcosx+3=0
sin2x=-3 (reject, -1 < sin2x < 0)
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