Complex Numbers in Rectangular, Polar Form
Algebra · Flashcards · Recall
ALGEBRA · FLASHCARDS
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QUESTION
What are
cos
θ
\cos\theta
cos
θ
and
sin
θ
\sin\theta
sin
θ
in terms of
a
,
b
,
r
a,b,r
a
,
b
,
r
for
z
=
a
+
b
i
z=a+bi
z
=
a
+
bi
with
r
=
∣
z
∣
r=|z|
r
=
∣
z
∣
?
QUESTION
What is
Arg
(
z
)
\operatorname{Arg}(z)
Arg
(
z
)
if
z
z
z
is a positive imaginary number
b
i
bi
bi
with
b
>
0
b>0
b
>
0
?
QUESTION
Which quadrant contains
z
=
a
+
b
i
z=a+bi
z
=
a
+
bi
if
a
<
0
a<0
a
<
0
and
b
>
0
b>0
b
>
0
?
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ANSWER
Quadrant
II
\text{II}
II
. Negative real part and positive imaginary part place it in quadrant II.
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