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diff --git a/manual/arith.texi b/manual/arith.texi
index 41ab577237..a20a4dec6c 100644
--- a/manual/arith.texi
+++ b/manual/arith.texi
@@ -939,6 +939,11 @@ guaranteed; it is intended that @theglibc{} should set it when the
underflow is to an appropriately signed zero, but not necessarily for
other underflows.
+When a math function has an argument that is a signaling NaN,
+@theglibc{} does not consider this a domain error, so @code{errno} is
+unchanged, but the invalid exception is still raised (except for a few
+functions that are specified to handle signaling NaNs differently).
+
Some of the math functions are defined mathematically to result in a
complex value over parts of their domains. The most familiar example of
this is taking the square root of a negative number. The complex math