alleryWhat is the principal argument of the complex number $z = 1 + i$?
A$\dfrac{\pi}{3}$
B$\dfrac{\pi}{4}$
C$\dfrac{\pi}{6}$
D$\dfrac{\pi}{2}$
Answer & Solution
Correct answer: B. $\dfrac{\pi}{4}$
$\tan\theta = \dfrac{y}{x} = 1$, and $z$ is in the first quadrant, so $\theta = \dfrac{\pi}{4}$.
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