First, we will convert the angles in degrees to radians:

Sin(30°) = Sin(pi/6) = 0.5
Cos(60°) = Cos(pi/3) = 0.5

Let us assume alpha is an angle, so the expression becomes:

Sin(30°+alpha) = Sin(pi/6 + alpha)
Expanding this with the sum formula for sine:
Sin(pi/6)Cos(alpha) + Cos(pi/6)Sin(alpha) = 0.5Cos(alpha) + sqrt(3)/2Sin(alpha)

Cos(60°+alpha) = Cos(pi/3 + alpha)
Expanding this with the sum formula for cosine:
Cos(pi/3)Cos(alpha) - Sin(pi/3)Sin(alpha) = 0.5Cos(alpha) - sqrt(3)/2Sin(alpha)

Therefore,
Sin(30°+alpha) - Cos(60°+alpha) = (0.5Cos(alpha) + sqrt(3)/2Sin(alpha)) - (0.5Cos(alpha) - sqrt(3)/2Sin(alpha))
= 0.5Cos(alpha) + sqrt(3)/2Sin(alpha) - 0.5Cos(alpha) + sqrt(3)/2Sin(alpha)
= 0 + 2sqrt(3)/2Sin(alpha)
= sqrt(3)*Sin(alpha)