|Re: Complex exponential connundrum|
Message #10 Posted by Manolo Sobrino on 29 Aug 2012, 11:21 p.m.,
in response to message #9 by Manolo Sobrino
I apologize if I seem too persistent, yet let me elaborate a bit more.
What you want is an exp function that, when in Deg mode and only for x Real, inputs Exp[i x], but prints Exp[i x*Pi/180] (i.e. Exp[i x_deg] -> Exp [i x_deg*Pi_rad/180_deg]). That would make some sense, although it would be quite awkward.
Notice that in such case, the argument is purely imaginary, you have a complex phase, and your variable can be viewed as an angle.
In general, when you are working in rectangular coordinates, the arguments of complex functions won't be angles, but complex numbers. If you can express your function as a combination of circular functions, what they expect are the real and/or imaginary parts of such numbers. These ones aren't angles, but numbers, hence radians.
(If the idea is while working in polar coordinates to keep the angle mode while performing complex exponentiation -and hide the conversions in the background-... well, the TI-86 does that smoothly.)
(edited spelling... again! it's a flu thing, sorry)
Edited: 29 Aug 2012, 11:59 p.m.