ArcTanh
Elementary Functions
ArcTanh[
z
]
Representations through equivalent functions
With related functions
Involving cos
-1
Involving tanh
-1
(1/
z
1/2
) (75 formulas)
Involving tanh
-1
(1/
z
1/2
) and cos
-1
(1+
z
/1-
z
) (4 formulas)
Involving tanh
-1
(1/
z
1/2
) and cos
-1
(
z
+1/
z
-1) (4 formulas)
Involving tanh
-1
(1/
z
1/2
) and cos
-1
(2 (-
z
)
1/2
/1-
z
) (8 formulas)
Involving tanh
-1
(1/
z
1/2
) and cos
-1
(2 (-
z
)
1/2
/
z
-1) (8 formulas)
Involving tanh
-1
(1/
z
1/2
) and cos
-1
(1/(1-
z
)
1/2
) (4 formulas)
Involving tanh
-1
(1/
z
1/2
) and cos
-1
(1/1-
z
1/2
) (4 formulas)
Involving tanh
-1
(1/
z
1/2
) and cos
-1
(
z
1/2
/(
z
-1)
1/2
) (3 formulas)
Involving tanh
-1
(1/
z
1/2
) and cos
-1
((-
z
)
1/2
/(1-
z
)
1/2
) (4 formulas)
Involving tanh
-1
(1/
z
1/2
) and cos
-1
(
z
/
z
-1
1/2
) (4 formulas)
Involving tanh
-1
(1/
z
1/2
) and cos
-1
(((1-
z
)
1/2
+1)
1/2
/(2
1/2
(1-
z
)
1/4
)) (4 formulas)
Involving tanh
-1
(1/
z
1/2
) and cos
-1
(((1-
z
)
1/2
-1)
1/2
/(2
1/2
(1-
z
)
1/4
)) (4 formulas)
Involving tanh
-1
(1/
z
1/2
) and cos
-1
((((1-
z
)
1/2
+1)/(2(1-
z
)
1/2
))
1/2
) (4 formulas)
Involving tanh
-1
(1/
z
1/2
) and cos
-1
((((1-
z
)
1/2
-1)/(2(1-
z
)
1/2
))
1/2
) (4 formulas)
Involving tanh
-1
(1/
z
1/2
) and cos
-1
(((1-
z
)
1/2
+(-
z
)
1/2
)
1/2
/(2
1/2
(1-
z
)
1/4
)) (4 formulas)
Involving tanh
-1
(1/
z
1/2
) and cos
-1
(((1-
z
)
1/2
-(-
z
)
1/2
)
1/2
/(2
1/2
(1-
z
)
1/4
)) (4 formulas)
Involving tanh
-1
(1/
z
1/2
) and cos
-1
((((1-
z
)
1/2
+(-
z
)
1/2
)/(2(1-
z
)
1/2
))
1/2
) (4 formulas)
Involving tanh
-1
(1/
z
1/2
) and cos
-1
((((1-
z
)
1/2
-(-
z
)
1/2
)/(2(1-
z
)
1/2
))
1/2
) (4 formulas)