HP 32SII Owner's Manual page 258

The following formulas are used to convert a point P from the Cartesian
coordinate pair (x, y) in the old system to the pair (u, v) in the new, translated,
rotated system.
The inverse transformation is accomplished with the formulas below.
The HP 32SII complex and polar–to–rectangular functions make these
computations straightforward.
15–32 Mathematics Programs
File name 32sii-Manual-E-0424
Printed Date : 2003/4/24
u = (x – m) cos θ + (y – n) sin θ
v = (y – n) cos θ – (y – n) sin θ
x = u cos θ – v sin θ + m
y = u sin θ + v cos θ + n
Size : 17 .7 x 25.2 cm