Z = -1 – i, find the modulus and argument.
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Find the modulus, argument and the principal argument of the complex numbers.
−
2
(
cos
30
o
+
i
sin
30
o
)
Solution
For
z
=
r
(
cos
(
θ
)
+
i
sin
(
θ
)
)
|
z
|
=
|
r
|
arg
(
z
)
=
θ
Principal argument is the argument that is in the interval
(
−
180
o
,
180
o
]
Here,
|
z
|
=
2
Argument =
30
o
Principal argument =
30
o
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