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The document discusses Theorem 2.2.6 regarding hyperbolic functions of complex numbers. Specifically: 1) If z, w are complex numbers, then Cosh z = cosh x cos y + i sinh x sin y, where z = x + iy. 2) The proof uses Theorem 2.2.6(h) which states that cosh(z + w) = cosh z cosh w + sinh z sinh w. 3) By letting z = x and w = iy, it is shown that Cosh z = cosh x cos y + i sinh x sin y, proving the theorem.

Author

Andha Handhayhanye Fithryee

Language

EN