HP 32SII - Manual (Page 258)

15–32 Mathematics Programs
File name 32sii-Manual-E-0424
Printed Date : 2003/4/24 Size : 17.7 x 25.2 cm
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.
u = (x – m) cos θ + (y – n) sinθ
v = (y – n) cos θ – (y – n) sinθ
The inverse transformation is accomplished with the formulas below.
x = u cos θ – v sinθ + m
y = u sin θ + v cosθ + n
The HP 32SII complex and polar–to–rectangular functions make these
computations straightforward.