SOLUTION: how do I find all solutions for this equation. 2 sin x + square root of 3 = 0 Thank you so much in helping me to get ahead before going back to school in the fall. sta

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: how do I find all solutions for this equation. 2 sin x + square root of 3 = 0 Thank you so much in helping me to get ahead before going back to school in the fall. sta      Log On


   

Question 5027: how do I find all solutions for this equation.
2 sin x + square root of 3 = 0
Thank you so much in helping me to get ahead before going back to school in the fall.
sta
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
+2+sin+%28x%29+%2B+sqrt+%283%29+=+0
+2+sin+%28x%29+=+-+sqrt+%283%29+

Divide both sides by 2:
sin+%28x%29+=+-+sqrt+%283%29%2F+2

sin+%28pi%2F3%29+=+sqrt+%283%29+%2F2, but in order for sin x to be negative, it must be in the third or fourth quadrant with a reference angle of pi%2F3.

Therefore, +x+=+%284%2Api%29%2F3 x=+%285%2Api%29%2F3+

R^2 at SCC