diff --git a/docs/querying/functions.md b/docs/querying/functions.md
index 45a559b7e..33740ac4a 100644
--- a/docs/querying/functions.md
+++ b/docs/querying/functions.md
@@ -440,8 +440,11 @@ aggregation even if the values are not equally spaced throughout the interval.
 The trigonometric functions work in radians:
 
 - `acos(v instant-vector)`: calculates the arccosine of all elements in `v` ([special cases](https://pkg.go.dev/math#Acos)).
+- `acosh(v instant-vector)`: calculates the inverse hyperbolic cosine of all elements in `v` ([special cases](https://pkg.go.dev/math#Acosh)).
 - `asin(v instant-vector)`: calculates the arcsine of all elements in `v` ([special cases](https://pkg.go.dev/math#Asin)).
+- `asinh(v instant-vector)`: calculates the inverse hyperbolic sine of all elements in `v` ([special cases](https://pkg.go.dev/math#Asinh)).
 - `atan(v instant-vector)`: calculates the arctangent of all elements in `v` ([special cases](https://pkg.go.dev/math#Atan)).
+- `atanh(v instant-vector)`: calculates the inverse hyperbolic tangent of all elements in `v` ([special cases](https://pkg.go.dev/math#Atanh)).
 - `cos(v instant-vector)`: calculates the cosine of all elements in `v` ([special cases](https://pkg.go.dev/math#Cos)).
 - `cosh(v instant-vector)`: calculates the hyperbolic cosine of all elements in `v` ([special cases](https://pkg.go.dev/math#Cosh)).
 - `sin(v instant-vector)`: calculates the sine of all elements in `v` ([special cases](https://pkg.go.dev/math#Sin)).
diff --git a/promql/functions.go b/promql/functions.go
index a093640c1..7d1db327d 100644
--- a/promql/functions.go
+++ b/promql/functions.go
@@ -615,6 +615,21 @@ func funcTanh(vals []parser.Value, args parser.Expressions, enh *EvalNodeHelper)
 	return simpleFunc(vals, enh, math.Tanh)
 }
 
+// == asinh(Vector parser.ValueTypeVector) Vector ===
+func funcAsinh(vals []parser.Value, args parser.Expressions, enh *EvalNodeHelper) Vector {
+	return simpleFunc(vals, enh, math.Asinh)
+}
+
+// == acosh(Vector parser.ValueTypeVector) Vector ===
+func funcAcosh(vals []parser.Value, args parser.Expressions, enh *EvalNodeHelper) Vector {
+	return simpleFunc(vals, enh, math.Acosh)
+}
+
+// == atanh(Vector parser.ValueTypeVector) Vector ===
+func funcAtanh(vals []parser.Value, args parser.Expressions, enh *EvalNodeHelper) Vector {
+	return simpleFunc(vals, enh, math.Atanh)
+}
+
 // === rad(Vector parser.ValueTypeVector) Vector ===
 func funcRad(vals []parser.Value, args parser.Expressions, enh *EvalNodeHelper) Vector {
 	return simpleFunc(vals, enh, func(v float64) float64 {
@@ -1002,8 +1017,11 @@ var FunctionCalls = map[string]FunctionCall{
 	"absent":             funcAbsent,
 	"absent_over_time":   funcAbsentOverTime,
 	"acos":               funcAcos,
+	"acosh":              funcAcosh,
 	"asin":               funcAsin,
+	"asinh":              funcAsinh,
 	"atan":               funcAtan,
+	"atanh":              funcAtanh,
 	"avg_over_time":      funcAvgOverTime,
 	"ceil":               funcCeil,
 	"changes":            funcChanges,
diff --git a/promql/parser/functions.go b/promql/parser/functions.go
index 3c281ec3d..c4bc5ddb8 100644
--- a/promql/parser/functions.go
+++ b/promql/parser/functions.go
@@ -44,16 +44,31 @@ var Functions = map[string]*Function{
 		ArgTypes:   []ValueType{ValueTypeVector},
 		ReturnType: ValueTypeVector,
 	},
+	"acosh": {
+		Name:       "acosh",
+		ArgTypes:   []ValueType{ValueTypeVector},
+		ReturnType: ValueTypeVector,
+	},
 	"asin": {
 		Name:       "asin",
 		ArgTypes:   []ValueType{ValueTypeVector},
 		ReturnType: ValueTypeVector,
 	},
+	"asinh": {
+		Name:       "asinh",
+		ArgTypes:   []ValueType{ValueTypeVector},
+		ReturnType: ValueTypeVector,
+	},
 	"atan": {
 		Name:       "atan",
 		ArgTypes:   []ValueType{ValueTypeVector},
 		ReturnType: ValueTypeVector,
 	},
+	"atanh": {
+		Name:       "atanh",
+		ArgTypes:   []ValueType{ValueTypeVector},
+		ReturnType: ValueTypeVector,
+	},
 	"avg_over_time": {
 		Name:       "avg_over_time",
 		ArgTypes:   []ValueType{ValueTypeMatrix},
diff --git a/promql/testdata/trig_functions.test b/promql/testdata/trig_functions.test
index 56f480b4e..fa5f94651 100644
--- a/promql/testdata/trig_functions.test
+++ b/promql/testdata/trig_functions.test
@@ -50,6 +50,21 @@ eval instant at 5m tanh(trig)
 	{l="y"} 1
 	{l="NaN"} NaN
 
+eval instant at 5m asinh(trig)
+	{l="x"} 2.99822295029797
+	{l="y"} 3.6895038689889055
+	{l="NaN"} NaN
+
+eval instant at 5m acosh(trig)
+	{l="x"} 2.993222846126381
+	{l="y"} 3.6882538673612966
+	{l="NaN"} NaN
+
+eval instant at 5m atanh(trig - 10.1)
+	{l="x"} -0.10033534773107522
+	{l="y"} NaN
+	{l="NaN"} NaN
+
 eval instant at 5m rad(trig)
 	{l="x"} 0.17453292519943295
 	{l="y"} 0.3490658503988659