Real-valued hyperbolic cosine function over the complex plane

The restricted domain is the set of complex numbers for which the hyperbolic cosine function is real-valued. This occurs when the complex number's imaginary part is a multiple of pi (this includes the x-axis) or when the real part is zero. In the latter case we get the graph of the cosine function. The 2D window shows part of the restricted domain. Use the 3D window to inspect the graphs.
Dr. John Gresham Tarleton State University