A) \[\cosh \,\alpha \,\,\cos \,\beta \]
B) \[\sinh \,\alpha \,\,\sin \,\beta \]
C) \[\cos \alpha \cosh \beta \]
D) \[\cos \alpha \cos \beta \]
Correct Answer: B
Solution :
\[\cosh \,(\alpha +i\beta )\]\[=\cosh \alpha \,\cosh \,(i\beta )+\sinh \alpha \,\,\sinh \,(i\beta )\,\] Imaginary part\[=\,\sinh \alpha \,\,\sin \beta \].
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