- #1
159753
- 2
- 0
Homework Statement
I can't seem to get a few questions involving inverse trigonometric functions and hyperbolic functions. Here is one that I am stuck on:
Evaluate the following in the form x+iy:
sinh-1(i/2) = z
Homework Equations
sinh z = (ez - e-z)/2
The Attempt at a Solution
sinh-1(i/2) = z
sinh (z) = i/2
This means that i/2 = (ez - e-z)/2
Let u = ez
Where do I go from here? I don't know how to deal with the imaginary number.