ArcSinh
Elementary Functions
ArcSinh[
z
]
Representations through equivalent functions
With related functions
Involving tan
-1
Involving sinh
-1
(
z
) (83 formulas)
Involving sinh
-1
(
z
) and tan
-1
((-1-
z
2
)
1/2
/
z
) (5 formulas)
Involving sinh
-1
(
z
) and tan
-1
((-
z
2
-1)
1/2
/(
z
2
)
1/2
) (5 formulas)
Involving sinh
-1
(
z
) and tan
-1
((1+
z
2
)
1/2
/(-
z
2
)
1/2
) (5 formulas)
Involving sinh
-1
(
z
) and tan
-1
((-
z
2
+1/
z
2
)
1/2
) (3 formulas)
Involving sinh
-1
(
z
) and tan
-1
(
z
/(-
z
2
-1)
1/2
) (5 formulas)
Involving sinh
-1
(
z
) and tan
-1
((-
z
2
)
1/2
/(
z
2
+1)
1/2
) (5 formulas)
Involving sinh
-1
(
z
) and tan
-1
((
z
2
)
1/2
/(-
z
2
-1)
1/2
) (5 formulas)
Involving sinh
-1
(
z
) and tan
-1
((-
z
2
/
z
2
+1)
1/2
) (5 formulas)
Involving sinh
-1
(
z
) and tan
-1
(2
z
(-
z
2
-1)
1/2
/1+2
z
2
) (2 formulas)
Involving sinh
-1
(
z
) and tan
-1
(1+2
z
2
/2
z
(-1-
z
2
)
1/2
) (7 formulas)
Involving sinh
-1
(
z
) and tan
-1
((-
i
z
-1)
1/2
/(
i
z
-1)
1/2
) (4 formulas)
Involving sinh
-1
(
z
) and tan
-1
((1+
i
z
)
1/2
/(1-
i
z
)
1/2
) (3 formulas)
Involving sinh
-1
(
z
) and tan
-1
((
z
-
i
)
1/2
/(-
z
-
i
)
1/2
) (4 formulas)
Involving sinh
-1
(
z
) and tan
-1
((
i
-
z
)
1/2
/(
i
+
z
)
1/2
) (4 formulas)
Involving sinh
-1
(
z
) and tan
-1
(
i
-
z
/
i
+
z
1/2
) (3 formulas)
Involving sinh
-1
(
z
) and tan
-1
((
i
z
-1)
1/2
/(-
i
z
-1)
1/2
) (4 formulas)
Involving sinh
-1
(
z
) and tan
-1
((1-
i
z
)
1/2
/(1+
i
z
)
1/2
) (3 formulas)
Involving sinh
-1
(
z
) and tan
-1
((-
z
-
i
)
1/2
/(
z
-
i
)
1/2
) (4 formulas)
Involving sinh
-1
(
z
) and tan
-1
((
i
+
z
)
1/2
/(
i
-
z
)
1/2
) (4 formulas)
Involving sinh
-1
(
z
) and tan
-1
(
i
+
z
/
i
-
z
1/2
) (3 formulas)
