Question

The value of k that makes the complex-valued function

𝑓(𝑧) = 𝑒 βˆ’π‘˜π‘₯ (cos 2𝑦 βˆ’ 𝑖 sin 2𝑦) analytic,

where 𝑧 = π‘₯ + 𝑖𝑦, is _________.

(Answer in integer)

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Answer :

2


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