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Question Number 142622 by Engr_Jidda last updated on 03/Jun/21
find z for which f(z)=(z/(sinz)) is undefined  where z∈C
$${find}\:{z}\:{for}\:{which}\:{f}\left({z}\right)=\frac{{z}}{{sinz}}\:{is}\:{undefined} \\ $$$${where}\:{z}\in\mathbb{C} \\ $$
Answered by MJS_new last updated on 03/Jun/21
undefined when sin z =0 ⇒ z=nπ∧n∈Z
$$\mathrm{undefined}\:\mathrm{when}\:\mathrm{sin}\:{z}\:=\mathrm{0}\:\Rightarrow\:{z}={n}\pi\wedge{n}\in\mathbb{Z} \\ $$

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