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 932130: 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 Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sin%282x%29-sin%28x%29=0
2sin%28x%29cos%28x%29-sin%28x%29=0
sin%28x%29%282cos%28x%29-1%29=0
Two solutions:
sin%28x%29=0
x=0
and
2cos%28x%29-1=0
2cos%28x%29=1
cos%28x%29=1%2F2
x=pi%2F3 and x=%285%2F3%29pi