HP 33s hp 33s_user's manual_English_E_HDPM20PIE56.pdf - Page 254
Coordinate Transformations
UPC - 082916001456
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Example 3: Find the roots of the following quadratic polynomial: x2 + x - 6 = 0 Keys: (In RPN mode) Display: Description: X P 2g 1g 6 ^g g @ value @ value @ value Starts the polynomial root finder; prompts for order. Stores 2 in F; prompts for B. Stores 1 in B; prompts for A. Stores -6 in A; calculates the first root. Calculates the second root. 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. u = (x - m) cosθ + (y - n) sinθ v = (y - n) cos θ -(x - m) sinθ The inverse transformation is accomplished with the formulas below. x = u cosθ - v sinθ + m y = u sinθ + v cosθ + n The HP 33s complex and polar-to-rectangular functions make these computations straightforward. 15-32 Mathematics Programs