SOLUTION: Solve the equation for (x) over the interval [0(degrees),360(degrees)). What is the solution set? {{{ 2sin^2(x) = sqrt(3)sin(x) }}}

Algebra ->  Trigonometry-basics -> SOLUTION: Solve the equation for (x) over the interval [0(degrees),360(degrees)). What is the solution set? {{{ 2sin^2(x) = sqrt(3)sin(x) }}}       Log On


   

Question 683396: Solve the equation for (x) over the interval [0(degrees),360(degrees)). What is the solution set?


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Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the equation for (x) over the interval [0(degrees),360(degrees)). What is the solution set?2sin^2(x) = sqrt(3)sin(x)
2sin^2(x) =√3)sin(x)
2sin^2(x)-√3)sin(x=0
sinx(2sinx-√3)=0
sinx=0
x=0, 180º
or
2sinx-√3=0
sinx=√3/2
x=60º, 120º (in quadrants I and II where sin>0)