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Have you checked the calculator's manual to see if the calculator is able (natively) to handle functions of a complex argument. It is able to handle simple algebra with complex numbers, powers, roots, solving a polynomial equation.
For this calculator, the hyperbolic functions must have a real argument otherwise you get a domain error. But just to make sure, try the exponential function with i (imaginary unit) as argument. If it comes back with a domain error you have your answer.
At first,
you can enter a complex number in r*exp(i*theta ) form.
This is exponential form of complex number. However, use this form in Radian
angle mode only. It causes a Domain
error in Degree or Gradian angle mode. To resolving this problem type Mode then
F1 and set up Radian mode
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