Complex number with exponential

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Abdullah Azzam
Abdullah Azzam el 8 de Mzo. de 2021
Comentada: Walter Roberson el 8 de Mzo. de 2021
I am trying to solve this equation however matlab isn't returning any solution. The equation is as follow:
Y=2/(exp(Ci)+exp(-Ci)) where C is constant and i is the imaginary number
I tried using the complex function but it doesn't give correct answer when combined with exp.
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Abdullah Azzam
Abdullah Azzam el 8 de Mzo. de 2021
Just find the value of Y
Walter Roberson
Walter Roberson el 8 de Mzo. de 2021
Y = 2./(exp(C*1i)+exp(-C*1i))
In vectorized form.
Or
Y = 1./cosh(C)

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Walter Roberson
Walter Roberson el 8 de Mzo. de 2021
Y = 1/cosh(C)
cosh(C) * Y = 1
cosh(C) = 1/Y
C = acosh(1/Y)

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