CVT3

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Verify the identity: \sinh(iz) = i\sin(z)\,

\sinh(iz)\, = \frac{e^{(iz)} - e^{-(iz)}}{2}
= \frac{i}{i}\cdot\frac{e^{iz} - e^{-iz}}{2}
= i\cdot\frac{e^{iz} - e^{-iz}}{2i}
= i\sin{z}\,


Main Page : Complex Variables : Trigonometric Functions

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