SOLUTION: Find all solutions of the equation in the interval [0, 2pi). sin(2x)=((-sqrt(3))/2)

Algebra ->  Trigonometry-basics -> SOLUTION: Find all solutions of the equation in the interval [0, 2pi). sin(2x)=((-sqrt(3))/2)      Log On


   



Question 522763: Find all solutions of the equation in the interval [0, 2pi).
sin(2x)=((-sqrt(3))/2)

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
sin(2x)=((-sqrt(3))/2)
---------
2x = 240, 300, 600, 660 degs
x = 120, 150, 300, 330 degs
or x = 2pi/3, 5pi/6, 5pi/3, 11pi/6 radians