[49/50G] convert rectangular to exact polar

03132021, 12:43 PM
(This post was last modified: 03142021 11:32 AM by BINUBALL.)
Post: #1




[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 / HP50G  fx570EX  fx570CW  HP200LX 

03132021, 08:18 PM
Post: #2




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 

03142021, 11:32 AM
Post: #3




RE: [49/50G] convert rectangular to exact polar
(03132021 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 / HP50G  fx570EX  fx570CW  HP200LX 

03142021, 02:34 PM
Post: #4




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 

03142021, 11:14 PM
Post: #5




RE: [49/50G] convert rectangular to exact polar
(03142021 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 / HP50G  fx570EX  fx570CW  HP200LX 

03152021, 02:16 AM
Post: #6




RE: [49/50G] convert rectangular to exact polar
I tried with 27 flag, but (2+3*i) EXPAND still gives (2+3*i).
Well... 

03152021, 11:25 AM
Post: #7




RE: [49/50G] convert rectangular to exact polar
(03152021 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 / HP50G  fx570EX  fx570CW  HP200LX 

03152021, 12:00 PM
Post: #8




RE: [49/50G] convert rectangular to exact polar
Pefect!
Very nice indeed. Thanks and regards, Gil 

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