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Standard XII
Mathematics
Sum of Infinite Terms
58.Why arg(z)...
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58.Why arg(z)+arg(1÷ z)=2k
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Q.
If
a
r
g
(
z
)
<
0
, then
a
r
g
(
−
z
)
−
a
r
g
(
z
)
=
Q.
If
z
=
1
+
i
√
3
,
|
a
r
g
(
z
)
|
+
∣
∣
a
r
g
(
¯
¯
¯
z
)
∣
∣
Q.
If
a
r
g
(
z
)
<
0
, then
a
r
g
(
−
z
)
−
a
r
g
(
z
)
equals
Q.
Prove that
∣
∣
∣
z
|
z
|
−
1
∣
∣
∣
≤
|
a
r
g
z
|
Q.
If
z
is a non-zero complex number, then
a
r
g
(
z
)
+
a
r
g
(
¯
¯
¯
z
)
equals
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