solve the equation for 0 less than or equal to x less than 2 pie
Assuming you mean ( 0 <= x < 2Pi)
-2 Cos(x) + √3 = 0
-2 Cos(x) = - √3
Cos(x) = (-V3)/(-2) = √3/2
Can you get from there to the solution?
the possible results are x = Pi/6 , 11Pi/6
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