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The answer is -1, but I can't get it there. Here is what I did.

((Rcosx)^3 +(rsinx)^3)/((rcosx)^2+(rsinx)^2)

Then by factoring out a r squared from top and bottom I'm left with a denominator of (sin^2(x ) + cos^2 (x)) which simplifies to 1. And a numerator of:

Rcos^3(x)+rsin^3 (x)

This is about as far as I've gotten and I can't figure out how to get it to a -1.