Complex Analysis: Theory and Applications · Problem 5.4.10

Complex Integration — Howell & Matthews

Mathematics — Complex Analysis · complex-trig-equations

Problem

Find all values of zz for which each equation holds. (a) sin⁡z=cosh⁡4\sin z = \cosh 4. (b) cos⁡z=2\cos z = 2. (c) sin⁡z=isinh⁡1\sin z = i\sinh 1. (d) sinh⁡z=i2\sinh z = \dfrac{i}{2}. (e) cosh⁡z=1\cosh z = 1.

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