SOLUTION: Find the 4 solutions in the interval [0, 2pi), for the equation, 2cos x sin x + sin x = zero.

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Question 772880: Find the 4 solutions in the interval [0, 2pi), for the equation, 2cos x sin x + sin x = zero.
Answer by lwsshak3(11628) About Me  (Show Source):
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Find the 4 solutions in the interval [0, 2pi), for the equation,
2cos x sin x + sin x = zero
(sin x)(2cos x+1)=0
..
sinx=0
x=0, π
..
2cos x+1=0
cos x=-1/2
x=2π/3, 4π/3
..
4 solutions: 0, π, 2π/3, 4π/3