SOLUTION: Find all values of x in the interval [0, 2pi] that satisfy the given equation. (Enter your answers as a comma-separated list.) -sin 2x = sqrt(3) sin x

Algebra ->  Trigonometry-basics -> SOLUTION: Find all values of x in the interval [0, 2pi] that satisfy the given equation. (Enter your answers as a comma-separated list.) -sin 2x = sqrt(3) sin x      Log On


   



Question 726190: Find all values of x in the interval [0, 2pi] that satisfy the given equation. (Enter your answers as a comma-separated list.)
-sin 2x = sqrt(3) sin x

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find all values of x in the interval [0, 2pi] that satisfy the given equation. (Enter your answers as a comma-separated list.)
-sin 2x = sqrt(3) sin x
-2sinxcosx=√3sinx
-2cosx=√3
cosx=-√3/2
x=5π/6, 7π/6 (in quadrants II and III where cos<0)