[49/50G] convert rectangular to exact polar
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03-13-2021, 12:43 PM
(This post was last modified: 03-14-2021 11:32 AM by BINUBALL.)
Post: #1
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[49/50G] convert rectangular to exact polar
This calculator doesn't support exact polar mode, but we know this formula.
![]() According to formula, first set calculator angle mode to polar. And enter complex number which you want to convert to polar. Press RS+4 and expand, boom! We get the exact answer! So, \(2+3i = \sqrt{13} \angle{ atan2(\frac{3}{2})}\) (edited : arctan -> atan2) If you want to convert a+bi to polar form, there needs more trick. Pull (a+bi)^c on stack and expand. a+bi = (a+bi)^1, so c=1 SUBST, and press EXP2POW, then you get a answer. I see expand to polar method somewhere in this forum, but a+bi convert method is made for myself. Maybe? S.Korean / HP-50G | fx-570EX | fx-570CW | HP-200LX |
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03-13-2021, 08:18 PM
Post: #2
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RE: [49/50G] convert rectangular to exact polar
FYI, phase angle of a+b*i = atan2(b,a), not atan(b/a)
The latter only covered phase angle between ±pi/2 |
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03-14-2021, 11:32 AM
Post: #3
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RE: [49/50G] convert rectangular to exact polar
(03-13-2021 08:18 PM)Albert Chan Wrote: FYI, phase angle of a+b*i = atan2(b,a), not atan(b/a)Thanks for information. I only thought about the quadrant I. edited. S.Korean / HP-50G | fx-570EX | fx-570CW | HP-200LX |
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03-14-2021, 02:34 PM
Post: #4
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RE: [49/50G] convert rectangular to exact polar
I wrote in polar mode (2,3) EXP And, but (2,3) has remained unchanged.
Any clue of what I missed? Thanks and regards, Gil |
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03-14-2021, 11:14 PM
Post: #5
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RE: [49/50G] convert rectangular to exact polar
(03-14-2021 02:34 PM)Gil Wrote: I wrote in polar mode (2,3) EXP And, but (2,3) has remained unchanged.You have to write EXACT complex number, so not (2,3). You have to write 2+3i. And I think if you write (2,3) in polar mode, It has to change like this : (3.61<0.98). (In radian) S.Korean / HP-50G | fx-570EX | fx-570CW | HP-200LX |
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03-15-2021, 02:16 AM
Post: #6
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RE: [49/50G] convert rectangular to exact polar
I tried with -27 flag, but (2+3*i) EXPAND still gives (2+3*i).
Well... |
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03-15-2021, 11:25 AM
Post: #7
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RE: [49/50G] convert rectangular to exact polar
(03-15-2021 02:16 AM)Gil Wrote: I tried with -27 flag, but (2+3*i) EXPAND still gives (2+3*i).My Flag list is { #7080018207A58FF0h # 0h # 905440430A038398h # 0h }. you can change to my flag setting to pull this on stack and execute STOF. And.. My Clues are, On header, There must be RAD R<Z (Base setting) C= (VX). CAS MODE must be clear except complex. Then execute 2+3*i EXPAND. Does EXPAND still give nothing? S.Korean / HP-50G | fx-570EX | fx-570CW | HP-200LX |
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03-15-2021, 12:00 PM
Post: #8
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RE: [49/50G] convert rectangular to exact polar
Pefect!
Very nice indeed. Thanks and regards, Gil |
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