SOLUTION: Find the exact solutions of the equation in the interval [0, 2π). (Enter your answers as a comma-separated list.) sin 2x + sin x = 0

Algebra ->  Trigonometry-basics -> SOLUTION: Find the exact solutions of the equation in the interval [0, 2π). (Enter your answers as a comma-separated list.) sin 2x + sin x = 0      Log On


   

Question 921835: Find the exact solutions of the equation in the interval [0, 2π). (Enter your answers as a comma-separated list.)
sin 2x + sin x = 0
Answer by lwsshak3(11628) About Me  (Show Source):
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Find the exact solutions of the equation in the interval [0, 2π). (Enter your answers as a comma-separated list.)
sin 2x + sin x = 0
2sinxcosx+sinx=0
sinx(2cosx+1)=0
sinx=0
x=0,π
or
2cosx+1=0
cosx=-1/2
x=2π/3,4π/3
exact solutions: 0, π, 2π/3, 4π/3