diff --git a/NEWS.md b/NEWS.md
index c9d73854e0f9d..e6076f2933db8 100644
--- a/NEWS.md
+++ b/NEWS.md
@@ -38,6 +38,8 @@ New library functions
 * New function `Base.Threads.foreach(f, channel::Channel)` for multithreaded `Channel` consumption. ([#34543]).
 * `Iterators.map` is added. It provides another syntax `Iterators.map(f, iterators...)`
   for writing `(f(args...) for args in zip(iterators...))`, i.e. a lazy `map` ([#34352]).
+* New function `sincospi` for simultaneously computing `sinpi(x)` and `cospi(x)` more
+  efficiently ([#35816]).
 
 New library features
 --------------------
diff --git a/doc/src/base/math.md b/doc/src/base/math.md
index 511e2e6207fc4..658e8c6f264ed 100644
--- a/doc/src/base/math.md
+++ b/doc/src/base/math.md
@@ -67,6 +67,7 @@ Base.Math.cosd
 Base.Math.tand
 Base.Math.sinpi
 Base.Math.cospi
+Base.Math.sincospi
 Base.sinh(::Number)
 Base.cosh(::Number)
 Base.tanh(::Number)