The complex inverse trigonometric hyperbolic functions are single-valued and regular in a slit complex plane. The branch cuts are shown below for z = x + iy, i.e., x = ℜz and y = ℑz are the real and imaginary parts of z, respectively.

 

 

 

 

sin−1z, cos−1z and tanh−1(z)	tan−1z and sinh−1z
cosh−1z

Branch Cuts for Inverse Trigonometric and Hyperbolic Functions

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