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) }}}

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

Answer by lwsshak3(11628) (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, 180�
or
2sinx-√3=0
sinx=√3/2
x=60�, 120� (in quadrants I and II where sin>0)
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