X2=X1-((COS(ARCTAN(Y1/X1))-COS(ARCTAN(Y1/X1)-Angle*(PI()/180)))*(X1/COS(ARCTAN(Y1/X1))))+XBaseFinal-(XBaseInitial-((COS(ARCTAN(YBaseInitial/XBaseInitial))-COS(ARCTAN(YBaseInitial/XBaseInitial)-Angle*(PI()/180)))*(XBaseInitial/COS(ARCTAN(YBaseInitial/XBaseInitial)))))

Y2=Y1-((SIN(ARCTAN(Y1/X1))-SIN(ARCTAN(Y1/X1)-Angle*(PI()/180)))*(Y1/SIN(ARCTAN(Y1/X1))))+YBaseFinal-(YBaseInitial-((SIN(ARCTAN(YBaseInitial/XBaseInitial))-SIN(ARCTAN(YBaseInitial/XBaseInitial)-Angle*(PI()/180)))*(YBaseInitial/SIN(ARCTAN(YBaseInitial/XBaseInitial)))))

With:

X1 = initial X-coordinate of considered object
X2 = final X-coordinate of considered object (after rotation and translation)
Y1 = initial Y-coordinate of considered object
Y2 = final Y-coordinate of considered object (after rotation and translation)
XBaseInitial = initial X-coordinate of base point
XBaseFinal = final X-coordinate of base point
YBaseInitial = initial Y-coordinate of base point
YBaseFinal = final Y-coordinate of base point
Angle = rotation angle