TI-30X Pro MathPrint raising i to powers > 3
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12-27-2022, 09:31 PM
Post: #7
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RE: TI-30X Pro MathPrint raising i to powers > 3
Until we find a non-graphing calculator that handles all powers of a + bi in one command, there are the polar/rectangular conversions in the Math menu of the TI-30X Pro Mathprint/TI-36X Pro.
(a + byi)^n = r^n * e^*(iΘ) Algorithm: R>Pr(a,b) sto→ x R>PΘ(a,b) sto→ y P>Rx(x,y) returns the real part of the result P>Ry(x,y) returns the imaginary part of the result Examples 1. (11 + 2i)^4 = 11753 + 10296i (Radian Mode) R>Pr(11,2) sto→ x (15625) R>PΘ(11,2) sto→ y (0.719413999) P>Rx(x,y) returns 11753 P>Ry(x,y) returns 10296 2. (4-3i)^5 = -3116 + 237i (Radian Mode) R>Pr(4,-3) sto→ x (3125) R>PΘ(4,-3) sto→ y (-3.217505544) P>Rx(x,y) returns -3116 P>Ry(x,y) returns 237 |
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