Example 10.13. The transformation w = f(z) = sin(z) is a one-to-one conformal mapping
of the vertical strip |x| < onto the w-plane slit along the rays .

The image is traced using a graph.

 Thus, the image of the vertical strip |x| < is the w-plane slit along the rays .

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(c) John Mathews, 1998, 2006