diff --git a/doc/classes/@GlobalScope.xml b/doc/classes/@GlobalScope.xml
index eb071836187..9a27a9abd81 100644
--- a/doc/classes/@GlobalScope.xml
+++ b/doc/classes/@GlobalScope.xml
@@ -551,14 +551,14 @@
 			<return type="bool" />
 			<param index="0" name="x" type="float" />
 			<description>
-				Returns whether [param x] is a finite value, i.e. it is not [constant @GDScript.NAN], positive infinity, or negative infinity.
+				Returns whether [param x] is a finite value, i.e. it is not [constant @GDScript.NAN], positive infinity, or negative infinity. See also [method is_inf] and [method is_nan].
 			</description>
 		</method>
 		<method name="is_inf">
 			<return type="bool" />
 			<param index="0" name="x" type="float" />
 			<description>
-				Returns [code]true[/code] if [param x] is either positive infinity or negative infinity.
+				Returns [code]true[/code] if [param x] is either positive infinity or negative infinity. See also [method is_finite] and [method is_nan].
 			</description>
 		</method>
 		<method name="is_instance_id_valid">
@@ -579,7 +579,7 @@
 			<return type="bool" />
 			<param index="0" name="x" type="float" />
 			<description>
-				Returns [code]true[/code] if [param x] is a NaN ("Not a Number" or invalid) value.
+				Returns [code]true[/code] if [param x] is a NaN ("Not a Number" or invalid) value. This method is needed as [constant @GDScript.NAN] is not equal to itself, which means [code]x == NAN[/code] can't be used to check whether a value is a NaN.
 			</description>
 		</method>
 		<method name="is_same">
diff --git a/modules/gdscript/doc_classes/@GDScript.xml b/modules/gdscript/doc_classes/@GDScript.xml
index 90fb91d0c93..db7177118f4 100644
--- a/modules/gdscript/doc_classes/@GDScript.xml
+++ b/modules/gdscript/doc_classes/@GDScript.xml
@@ -277,7 +277,8 @@
 			[b]Warning:[/b] Numeric infinity is only a concept with floating-point numbers, and has no equivalent for integers. Dividing an integer number by [code]0[/code] will not result in [constant INF] and will result in a run-time error instead.
 		</constant>
 		<constant name="NAN" value="nan">
-			"Not a Number", an invalid floating-point value. [constant NAN] has special properties, including that [code]!=[/code] always returns [code]true[/code], while other comparison operators always return [code]false[/code]. This is true even when comparing with itself ([code]NAN == NAN[/code] returns [code]false[/code] and [code]NAN != NAN[/code] returns [code]true[/code]). It is returned by some invalid operations, such as dividing floating-point [code]0.0[/code] by [code]0.0[/code].
+			"Not a Number", an invalid floating-point value. It is returned by some invalid operations, such as dividing floating-point [code]0.0[/code] by [code]0.0[/code].
+			[constant NAN] has special properties, including that [code]!=[/code] always returns [code]true[/code], while other comparison operators always return [code]false[/code]. This is true even when comparing with itself ([code]NAN == NAN[/code] returns [code]false[/code] and [code]NAN != NAN[/code] returns [code]true[/code]). Due to this, you must use [method @GlobalScope.is_nan] to check whether a number is equal to [constant NAN].
 			[b]Warning:[/b] "Not a Number" is only a concept with floating-point numbers, and has no equivalent for integers. Dividing an integer [code]0[/code] by [code]0[/code] will not result in [constant NAN] and will result in a run-time error instead.
 		</constant>
 	</constants>