ArcTan
Elementary Functions
ArcTan[
z
]
Representations through equivalent functions
With related functions
Involving sech
-1
Involving tan
-1
(
z
) (68 formulas)
Involving tan
-1
(
z
) and sech
-1
(1+
z
2
/2
z
) (8 formulas)
Involving tan
-1
(
z
) and sech
-1
(1+
z
2
/1-
z
2
) (5 formulas)
Involving tan
-1
(
z
) and sech
-1
(
z
2
+1/
z
2
-1) (5 formulas)
Involving tan
-1
(
z
) and sech
-1
((
z
2
+1)
1/2
) (3 formulas)
Involving tan
-1
(
z
) and sech
-1
((1+
z
2
)
1/2
/
z
) (4 formulas)
Involving tan
-1
(
z
) and sech
-1
((
z
2
+1)
1/2
/(
z
2
)
1/2
) (5 formulas)
Involving tan
-1
(
z
) and sech
-1
((-1-
z
2
)
1/2
/(-
z
2
)
1/2
) (5 formulas)
Involving tan
-1
(
z
) and sech
-1
(
z
2
+1/
z
2
1/2
) (5 formulas)
Involving tan
-1
(
z
) and sech
-1
(2
1/2
(1+
z
2
)
1/4
/((1+
z
2
)
1/2
+1)
1/2
) (3 formulas)
Involving tan
-1
(
z
) and sech
-1
(2
1/2
(1+
z
2
)
1/4
/((1+
z
2
)
1/2
-1)
1/2
) (5 formulas)
Involving tan
-1
(
z
) and sech
-1
((2(1+
z
2
)
1/2
/(1+
z
2
)
1/2
+1)
1/2
) (3 formulas)
Involving tan
-1
(
z
) and sech
-1
((2(1+
z
2
)
1/2
/((1+
z
2
)
1/2
-1))
1/2
) (5 formulas)
Involving tan
-1
(
z
) and sech
-1
(2
1/2
(1+
z
2
)
1/4
/((1+
z
2
)
1/2
+
z
)
1/2
) (3 formulas)
Involving tan
-1
(
z
) and sech
-1
(2
1/2
(1+
z
2
)
1/4
/((1+
z
2
)
1/2
-
z
)
1/2
) (3 formulas)
Involving tan
-1
(
z
) and sech
-1
((2(1+
z
2
)
1/2
/((1+
z
2
)
1/2
+
z
))
1/2
) (3 formulas)
Involving tan
-1
(
z
) and sech
-1
((2(1+
z
2
)
1/2
/((1+
z
2
)
1/2
-
z
))
1/2
) (3 formulas)
ArcTan[
x
,y]