Formulas for hyperbolic functions Show that cosh z = cosh x cos y + i sinh x

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Formulas for hyperbolic functions

Show that

cosh z = cosh x cos y + i sinh x sin y
sinh z = sinh x cos y + i cosh x sin y

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Advanced Engineering Mathematics

ISBN: 978-0470458365

10th edition

Authors: Erwin Kreyszig

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Question Posted: Oct 06, 2022 03:30 AM

Formulas for hyperbolic functions Show that cosh (z 1 + z 2 ) = cosh z 1 cosh z 2 + sinh z 1 sinh z 2 sinh (z 1 + z 2 ) = sinh z 1 cosh z 2 + cosh z 1 sinh z 2
Formulas for hyperbolic functions Show that Prove that cos z, sin z, cosh z, and sinh z are entire.
Formulas for hyperbolic functions Show that cosh 2 z - sinh 2 z = 1, cosh 2 z + sinh 2 z = cosh 2z
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Formulas for hyperbolic functions Show that cosh z = cosh x cos y + i sinh x

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cosh z cosh x cos y i sinh x sin y sinh z sinh x cos y i cosh x sin y This can be proved by noting t...View the full answer

Advanced Engineering Mathematics

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