The argument of every complex number is

Double valued

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Single valued

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Many valued

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Triple valued

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Solution

The correct option is C Many valued
$z = x + i y$
amplitude $= t a n^{- 1} \frac{y}{x}$
$\Rightarrow$ amplitude $= θ \pm 2 k π$ where $θ ϵ [- π, π]$ $\forall k ϵ R$
since $k ϵ R$
$\Rightarrow$ Amplitude of any complex number is many valued.

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