diff --git a/base/docs/helpdb/Base.jl b/base/docs/helpdb/Base.jl
index 82604311cd1cc..e84547a23a682 100644
--- a/base/docs/helpdb/Base.jl
+++ b/base/docs/helpdb/Base.jl
@@ -9,13 +9,6 @@ Raises a `SystemError` for `errno` with the descriptive string `sysfunc` if `ift
 """
 systemerror
 
-"""
-    digamma(x)
-
-Compute the digamma function of `x` (the logarithmic derivative of `gamma(x)`)
-"""
-digamma
-
 """
     fill!(A, x)
 
@@ -976,13 +969,6 @@ seeding.
 """
 srand
 
-"""
-    acot(x)
-
-Compute the inverse cotangent of `x`, where the output is in radians.
-"""
-acot
-
 """
     oftype(x, y)
 
@@ -2640,13 +2626,6 @@ Get the concrete type of `x`.
 """
 typeof
 
-"""
-    acsc(x)
-
-Compute the inverse cosecant of `x`, where the output is in radians
-"""
-acsc
-
 """
     log(x)
 
@@ -3059,13 +3038,6 @@ Element-wise less-than-or-equals comparison operator.
 """
 Base.:(.<=)
 
-"""
-    asec(x)
-
-Compute the inverse secant of `x`, where the output is in radians.
-"""
-asec
-
 """
     rank(M)
 
@@ -4925,13 +4897,6 @@ recurses infinitely.
 """
 StackOverflowError
 
-"""
-    acsch(x)
-
-Compute the inverse hyperbolic cosecant of `x`.
-"""
-acsch
-
 """
     process_running(p::Process)
 
@@ -5689,13 +5654,6 @@ Read a UDP packet from the specified socket, and return the bytes received. This
 """
 recv
 
-"""
-    acoth(x)
-
-Compute the inverse hyperbolic cotangent of `x`.
-"""
-acoth
-
 """
     det(M)
 
@@ -6038,13 +5996,6 @@ the integrity and correctness of data read from `stream`.
 """
 deserialize
 
-"""
-    asech(x)
-
-Compute the inverse hyperbolic secant of `x`.
-"""
-asech
-
 """
     ismarked(s)
 
diff --git a/base/special/trig.jl b/base/special/trig.jl
index 087f2ad0338e6..2ad94211c590f 100644
--- a/base/special/trig.jl
+++ b/base/special/trig.jl
@@ -319,11 +319,20 @@ for (finv, f) in ((:sec, :cos), (:csc, :sin), (:cot, :tan),
     end
 end
 
-for (fa, fainv) in ((:asec, :acos), (:acsc, :asin), (:acot, :atan),
-                    (:asech, :acosh), (:acsch, :asinh), (:acoth, :atanh))
+for (tfa, tfainv, hfa, hfainv, fn) in ((:asec, :acos, :asech, :acosh, "secant"),
+                                       (:acsc, :asin, :acsch, :asinh, "cosecant"),
+                                       (:acot, :atan, :acoth, :atahn, "cotangent"))
+    tname = string(tfa)
+    hname = string(hfa)
     @eval begin
-        ($fa){T<:Number}(y::T) = ($fainv)(one(T) / y)
-        ($fa){T<:Number}(y::AbstractArray{T}) = ($fainv)(one(T) ./ y)
+        @doc """
+            $($tname)(x)
+        Compute the inverse $($fn) of `x`, where the output is in radians. """ ($tfa){T<:Number}(y::T) = ($tfainv)(one(T) / y)
+        ($tfa){T<:Number}(y::AbstractArray{T}) = ($tfainv)(one(T) ./ y)
+        @doc """
+            $($hname)(x)
+        Compute the inverse hyperbolic $($fn) of `x`. """ ($hfa){T<:Number}(y::T) = ($hfainv)(one(T) / y)
+        ($hfa){T<:Number}(y::AbstractArray{T}) = ($hfainv)(one(T) ./ y)
     end
 end
 
diff --git a/doc/manual/integers-and-floating-point-numbers.rst b/doc/manual/integers-and-floating-point-numbers.rst
index 9b37bff26eb08..0e79f2feb4952 100644
--- a/doc/manual/integers-and-floating-point-numbers.rst
+++ b/doc/manual/integers-and-floating-point-numbers.rst
@@ -317,7 +317,7 @@ only as a storage format. In calculations they'll be converted to ``Float32``:
     2
 
     julia> 2*Float16(4.)
-    8.0f0
+    Float16(8.0)
 
 The underscore ``_`` can be used as digit separator:
 
diff --git a/doc/stdlib/math.rst b/doc/stdlib/math.rst
index 7c9a7c653e808..91b6c7d926867 100644
--- a/doc/stdlib/math.rst
+++ b/doc/stdlib/math.rst
@@ -664,7 +664,7 @@ Mathematical Functions
 
    .. Docstring generated from Julia source
 
-   Compute the inverse cosecant of ``x``\ , where the output is in radians
+   Compute the inverse cosecant of ``x``\ , where the output is in radians.
 
 .. function:: acot(x)