I keep coming up with cos x, but for some reason I don't think that's right. Can anyone verify?
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Recall that cos A cos B - sin A sin B = cos(A + B)
cos(x - y)cos(y) - sin(x - y)sin(y) = cos (x - y + y )
= cos(x)
cos(x - y)cos(y) - sin(x - y)sin(y) = cos (x - y + y )
= cos(x)