Converting cosine to exponential form
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I am trying to convert a cosine function to its exponential form but I do not know how to do it.
[more elaboration]
syms w y
function1 = input('user please enter input');
%user input is cos(y)
desired_output = (-1)^(w*pi) if y = w*pi
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Jan
2021-11-7
cos(x) = 0.5 * (exp(1i * x) + exp(-1i * x))
exp(ix) = cos(x) + 1i * sin(x)
I do not understand, why the desired output is (-1)^(w*pi).
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