Question

what is tan(x+iy) in term of x and y pls help

Answer 1

use tan(a+b) formula.
tan(ix) = itanh(x)

Answer 2

or just convert tan(x) into sin(x)/cos(x) = (e^x - e^(-x))/(e^x + e^(-x))
you should get a complex number in terms of hyperbolic functions.

Answer 3

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Answer 4

edit *
sin(x)/cos(x) = (e^(ix) - e^(-ix))/(e^(ix) + e^(-ix))