ArcTan
Elementary Functions
ArcTan[
z
]
Representations through equivalent functions
With related functions
Involving sec
-1
(290 formulas)
Involving tan
-1
(
z
) (61 formulas)
Involving tan
-1
(
z
1/2
) (35 formulas)
Involving tan
-1
(1/
z
1/2
) (52 formulas)
Involving tan
-1
((
z
-1)
1/2
) (1 formula)
Involving tan
-1
(1/(
z
-1)
1/2
) (3 formulas)
Involving tan
-1
(1/
z
-1
1/2
) (4 formulas)
Involving tan
-1
((1-
z
)
1/2
/
z
1/2
) (6 formulas)
Involving tan
-1
((
z
-1)
1/2
/(-
z
)
1/2
) (7 formulas)
Involving tan
-1
(1-
z
/
z
1/2
) (4 formulas)
Involving tan
-1
(
z
1/2
/(1-
z
)
1/2
) (7 formulas)
Involving tan
-1
((-
z
)
1/2
/(
z
-1)
1/2
) (8 formulas)
Involving tan
-1
(
z
/1-
z
1/2
) (7 formulas)
Involving tan
-1
((1+
c
z
)
1/2
/(1-
c
z
)
1/2
) (6 formulas)
Involving tan
-1
((-1+
c
z
)
1/2
/(-1-
c
z
)
1/2
) (8 formulas)
Involving tan
-1
(1+
c
z
/1-
c
z
1/2
) (6 formulas)
Involving tan
-1
((
z
2
-1)
1/2
) (3 formulas)
Involving tan
-1
(1/(
z
2
-1)
1/2
) (5 formulas)
Involving tan
-1
(1/
z
2
-1
1/2
) (5 formulas)
Involving tan
-1
(
z
z
2
-1/
z
2
1/2
) (3 formulas)
Involving tan
-1
(
z
/(1-
z
2
)
1/2
) (4 formulas)
Involving tan
-1
((
z
2
)
1/2
/(1-
z
2
)
1/2
) (5 formulas)
Involving tan
-1
((-
z
2
)
1/2
/(
z
2
-1)
1/2
) (5 formulas)
Involving tan
-1
(
z
2
/1-
z
2
1/2
) (5 formulas)
Involving tan
-1
((1-
z
2
)
1/2
/
z
) (3 formulas)
Involving tan
-1
((1-
z
2
)
1/2
/(
z
2
)
1/2
) (5 formulas)
Involving tan
-1
((
z
2
-1)
1/2
/(-
z
2
)
1/2
) (5 formulas)
Involving tan
-1
(1-
z
2
/
z
2
1/2
) (3 formulas)
Involving tan
-1
(1+
c
(1-
z
2
)
1/2
/
z
) (4 formulas)
Involving tan
-1
(
z
/1+
c
(1-
z
2
)
1/2
) (4 formulas)
Involving tan
-1
(2 (
z
2
-1)
1/2
/-2+
z
2
) (4 formulas)
Involving tan
-1
(-2+
z
2
/2 (
z
2
-1)
1/2
) (5 formulas)
Involving tan
-1
(2
z
(1-
z
2
)
1/2
/1-2
z
2
) (2 formulas)
Involving tan
-1
(1-2
z
2
/2
z
(1-
z
2
)
1/2
) (5 formulas)
ArcTan[
x
,y]
