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