(A) We know that the definition of the hyperbolic sine function is $\sinh(z) = \frac{e^z - e^{-z}}{2}$.Substituting $z = ix$,we get:$\sinh(ix) = \frac

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(A) We know that the definition of the hyperbolic sine function is $\sinh(z) = \frac{e^z - e^{-z}}{2}$.Substituting $z = ix$,we get:$\sinh(ix) = \frac{e^{ix} - e^{-ix}}{2}$.Using Euler's formula,$\sin x = \frac{e^{ix} - e^{-ix}}{2i}$,which implies $\frac{e^{ix} - e^{-ix}}{2} = i \sin x$.Therefore,$\sinh(ix) = i \sin x$.

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$\sinh(ix)$ is equal to

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A
$i \sin x$
B
$\sin ix$
C
$-i \sin x$
D
$i \sin(ix)$

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$\sinh(ix)$ is equal to

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