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Question

if z=reiθ,then |eiz|=



Solution

The correct option is B


if z=reiθ=r(cosθ + isinθ)

iz=ir(cosθ + isinθ)=-rcosθ + irsinθ

or eiz = ercosθ+irsinθ=esinθericosθ

or |eiz|=|ersinθ||eircosθ|

=ersinθ[cos2(rcosθ)+cos2(rcosθ)]2=ersinθ

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