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Byju's Answer
Standard XII
Mathematics
Sum of Infinite Terms
Arg(z)+arg(co...
Question
Arg(z)+arg(conjugate of z) is equal to 0 prove this.
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Q.
If
a
r
g
(
z
)
<
0
, then
a
r
g
(
−
z
)
−
a
r
g
(
z
)
equals
Q.
If arg
z
<
0
, then
a
r
g
(
−
z
)
−
a
r
g
(
z
)
is equal to
Q.
Prove that
∣
∣
∣
z
|
z
|
−
1
∣
∣
∣
≤
|
a
r
g
z
|
Q.
If
|
z
−
3
i
|
=
3
and
a
r
g
z
∈
(
0
,
π
2
)
then
c
o
t
(
a
r
g
z
)
−
6
z
is equal to ......................
Q.
For
z
≠
0
, define
log
z
=
log
|
z
|
+
i
(
a
r
g
z
)
where
−
π
<
a
r
g
(
z
)
≤
π
i.e.
a
r
g
(
z
)
stands for the principal argument of
z
.
log
(
−
i
)
equals :
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