You'd probably need to use atan(dy/dx). however the usage of atan is a
little problematic since dx is not necessarily unequal zero and it's

(which is the opposite direction).

I recommend using one vector for the direction and speed (with the speed
being the length of the direction vector) and one for the location. So
instead of

x = x + speed * sin(direction * 2*pi)
y = y + speed * cos(direction * 2*pi)

you'd have

Position = Position+Direction ( with Direction = vnormalize(<dx,dy>)*Speed )

if you need to access the former x and y components use

x=Position.x
y=Position.y

Hope that helps!
Regards Roman

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