sin(2x) can be written as 2sin(x)cos(x), so we have:
2sin(x)cos(x) = sqrt(3)cos(x)
Either cos(x) = 0, in which case x = 90° or sin(x) = sqrt(3)/2 in which case x = 60°
(there are an infinite number of mutiples of these angles that also satisfy the equation).
