Coordinate Transformations - HP 33s Owner's Manual

Example 3:
Find the roots of the following quadratic polynomial:
Keys:
(In RPN mode)
t
P
¥
2
¥
1
z¥
6
¥

Coordinate Transformations

This program provides two–dimensional coordinate translation and rotation.
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 33s complex and polar–to–rectangular functions make these computations
straightforward.
15–32
Mathematics Programs
File name 33s-E-Manual-1008-Publication(1st).doc
Printed Date : 2003/10/8
2
x + x – 6 = 0
Display:

value 

value 

value 




θ
u = (x – m) cos + (y – n) sin
θ
v = (y – n) cos –(x – m) sin
θ
x = u cos – v sin
θ
y = u sin + v cos
Size : 13.7 x 21.2 cm
Description:
Starts the polynomial root finder;
prompts for order.
Stores 2 its F; prompts for B.
Stores 1 its B; prompts for A.
Stores –6 its A; calculates the first
root.
Calculates the second root.
θ
θ
θ
+ m
θ
+ n
Page : 386