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NeedPhysHelp8

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**Homework Statement**

A particle undergoes simple harmonic motion in both the x and y directions simultaneously. Its x and y coordinates are given by: x=asin(wt) y=bcos(wt) . Show that the quantity x(dy/dt) - y(dx/dt) is constant around ellipse, and what is the physical meaning of this quantity?

**The attempt at a solution**

Ok so I got the first part of the question:

x(dy/dt) - y(dx/dt) = -abw

Now I have no clue what the meaning of this quantity is? the units I see are m^2/s so is this angular area? someone help please