SOLUTION: {{{2sin(2x)-2sinx+2sqrt3cosx-sqrt3=0
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2sin(2x)-2sinx+2sqrt3cosx-sqrt3=0
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
2sin(2x)-2sinx+2sqrt3cosx-sqrt3 = 0
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4sin(x)cos(x) - 2sin(x) + 2sqrt(3)cos(x) - sqrt(3) = 0
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Factor:
2sin(x)[2cos(x)-1] + sqrt(3)[2cos(x)-1] = 0
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[2cos(x)-1][2sin(x)+sqrt(3)] = 0
Solve:
2cos(x)-1 = 0 or 2sin(x)+sqrt(3) = 0
cos(x) = 1/2 or sin(x) = -sqrt(3)/2
x = +/-pi/3 or x = -pi/3 or (4/3)pi
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Cheers,
Stan H.
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