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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) sin
θ
v = (y – n) cos
θ
– (y – n) sin
θ
The inverse transformation is accomplished with the formulas below.
x = u cos
θ
– v sin
θ
+ m
y = u sin
θ
+ v cos
θ
+ n
The HP 32SII complex and polar–to–rectangular functions make these
computations straightforward.