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National
Hard
Complex Numbers
10–12
What is an argument of
z
=
−
1
+
i
3
z = -1 + i\sqrt{3}
z
=
−
1
+
i
3
?
Qual é um argumento de
z
=
−
1
+
i
3
z = -1 + i\sqrt{3}
z
=
−
1
+
i
3
?
Answer options
A.
−
π
3
-\frac{\pi}{3}
−
3
π
B.
2
π
3
\frac{2\pi}{3}
3
2
π
C.
π
3
\frac{\pi}{3}
3
π
D.
5
π
3
\frac{5\pi}{3}
3
5
π
Check Answer
Solution
Step 1 of 3
1.
The point
(
−
1
,
3
)
(-1, \sqrt{3})
(
−
1
,
3
)
lies in the second quadrant, so the argument is between
π
2
\frac{\pi}{2}
2
π
and
π
\pi
π
.
Next step
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