[49/50G] convert rectangular to exact polar

[BINUBALL]

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?

[Albert Chan]

FYI, phase angle of a+b*i = atan2(b,a), not atan(b/a)
The latter only covered phase angle between ±pi/2

[BINUBALL]

(03-13-2021 08:18 PM)Albert Chan Wrote:  FYI, phase angle of a+b*i = atan2(b,a), not atan(b/a)
The latter only covered phase angle between ±pi/2

Thanks for information. I only thought about the quadrant I. edited.

[Gil]

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

[BINUBALL]

(03-14-2021 02:34 PM)Gil Wrote:  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

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)

[Gil]

I tried with -27 flag, but (2+3*i) EXPAND still gives (2+3*i).

Well...

[BINUBALL]

(03-15-2021 02:16 AM)Gil Wrote:  I tried with -27 flag, but (2+3*i) EXPAND still gives (2+3*i).

Well...

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?

[Gil]

Pefect!
Very nice indeed.

Thanks and regards,
Gil