HP 50g, degree mode, complex polar numbers w/ negative angle  Printable Version + HP Forums (https://archived.hpcalc.org/museumforum) + Forum: HP Museum Forums (https://archived.hpcalc.org/museumforum/forum1.html) + Forum: Old HP Forum Archives (https://archived.hpcalc.org/museumforum/forum2.html) + Thread: HP 50g, degree mode, complex polar numbers w/ negative angle (/thread142341.html) 
HP 50g, degree mode, complex polar numbers w/ negative angle  Paul Ozog  10202008 If I try to get the (Re, Im) format of: exp(22.6*i) I get (.843, .539). Isn't this blatantly wrong? Just think about it. The Re coordinate must be positive, and the Im negative. Note the calc is in degree mode. Am I missing something? This is pissing me off to no avail.
Re: HP 50g, degree mode, complex polar numbers w/ negative angle  Karl Schneider  10212008 Quote: Paul  It's wrong, alright.
Quote: Hmm, polar and degree mode. Maybe you meant, 1.00 / 22.6 degrees? That converts to 0.92321  i*0.38430 in rectangular mode. However, you specified a complex number in rectangular form. I cannot obtain your result for antilogarithm. I don't have an HP50g, but I do have practically every other HP calculator with builtin complexnumber support. Every one I've tried yields the same answer, in degree or radians mode: e^(i*22.6) ~= 0.82031 + i*0.57193 I even evaluated your expression as an algebraic expression on the HP49g and HP48G, and got the same answer.
By Euler's Theorem,
Degrees mode will be ignored by the HP models for complexnumber calculations, because exponential (natural antilogarithm) requires a physically dimensionless input.  KS
Edited: 21 Oct 2008, 1:59 a.m.
Re: HP 50g, degree mode, complex polar numbers w/ negative angle  VPN  10212008 My 50g functions correctly Re: HP 50g, degree mode, complex polar numbers w/ negative angle  Marcus von Cube, Germany  10212008 On a TI (Voyage 200) you can simply type e^(22.6°*i) and get the intended result. On the HP however, EXP(22.6_°*i) cannot be evaluated; it's displayed as e^{(22.6*1_°*i)} but EVAL or >NUM fail with the message "Bad Argument Type". You can use the D>R function instead: EXP(D>R(22.6)*i)
works as intended and returns (0.9232,0.3843) if you press >NUM.
Re: HP 50g, degree mode, complex polar numbers w/ negative angle  Paul Ozog  10212008 Whoops  forgot that (strictly speaking) Euler takes the angle to be in radians. You can't blame me when I'm surrounded by people typing exp(22.6*i) in ti calcs, and when my electromagnetics textbook always gives polarform complex numbers in degrees. Thanks for the help.
Re: HP 50g, degree mode, complex polar numbers w/ negative angle  VPN  10222008 This was actually the post that let me to understand the problem at hand  and to give the solution as well :)
