The principal argument of a complex number is defined to lie in which interval? 
A$[0,2\pi)$
B$(-2\pi,2\pi)$
C$[-\pi,\pi]$
D$(0,\pi)$
Answer & Solution
Correct answer: C. $[-\pi,\pi]$
The principal argument of $z$ is the unique argument chosen from the standard interval $[-\pi,\pi]$. Other arguments differ from it by integer multiples of $2\pi$.
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