Question: Show that (a) sinh(z + i) = sinh z; (b) cosh(z + i) = cosh z; (c) tanh(z + i) = tanh z.

Show that
(a) sinh(z + πi) = −sinh z;
(b) cosh(z + πi) = cosh z;
(c) tanh(z + πi) = tanh z.

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