Euler's identity with angle in degrees

How can I get MATLAB to accept a in degress in exp(aj) to return a complex number where j^2=-1? By default the software takes a in radians.

Answer 1

[Torsten]

a = 30;
exp(deg2rad(a)*1i)

ans = 0.8660 + 0.5000i

exp(a*pi/180*1i)

ans = 0.8660 + 0.5000i

Answer 2

[Paul]

If the input is given in degrees, consider writing your own function using cosd and sind for accurate results at the 90 deg intervals

e = @(x) cosd(x) + 1i*sind(x);
d = [90 180 270];
format long e
e(d)

ans = 
      0.000000000000000e+00 + 1.000000000000000e+00i     -1.000000000000000e+00 + 0.000000000000000e+00i      0.000000000000000e+00 - 1.000000000000000e+00i

exp(d*pi/180*1i)

ans = 
      6.123233995736766e-17 + 1.000000000000000e+00i     -1.000000000000000e+00 + 1.224646799147353e-16i     -1.836970198721030e-16 - 1.000000000000000e+00i

[Ali Kiral]

That's cool Paul, thanks!

Answer 3

[Joe Vinciguerra]

[EDIT: oops. converted in the wrong direction.]

deg2rad will convert degrees to radians (https://www.mathworks.com/help/matlab/ref/deg2rad.html).

So you'll do something like this:

j = sqrt(-1);
a = 180;
exp(deg2rad(a)*j)

ans = -1.0000 + 0.0000i