I think I am being a good citizen here:

The docs say:

The   complex   hyperbolic  tangent  function  tanh(z)  is  defined  as
       cosh(z)/sinh(z).

The complex tangent function ctan(z) is defined as ccos(z)/csin(z).

In High School over 50 years ago we learnt the mnemonic:
     sohcahtoa

which means sin = opposite / hypotenuse
            cos = adjacent / hypotenuse
            tan = opposite / adjacent

This means that tan = sin / cos

Unless the rules have changed, lately?

Seems to be a problem in all the docs that I tried.