diff --git a/base/special/coth/README.md b/base/special/coth/README.md
index e28daae94..76e1d1e1c 100644
--- a/base/special/coth/README.md
+++ b/base/special/coth/README.md
@@ -74,6 +74,94 @@ for ( i = 0; i < x.length; i++ ) {
+
+
+* * *
+
+
+
+## C APIs
+
+
+
+
+
+
+
+
+
+
+
+### Usage
+
+```c
+#include "stdlib/math/base/special/coth.h"
+```
+
+#### stdlib_base_coth( x )
+
+Computes the [hyperbolic cotangent][hyperbolic-functions] of double-precision floating-point number `x`.
+
+```c
+double out = stdlib_base_coth( 2.0 );
+// returns ~1.0373
+
+out = stdlib_base_coth( -2.0 );
+// returns ~-1.0373
+```
+
+The function accepts the following arguments:
+
+- **x**: `[in] double` input value.
+
+```c
+double stdlib_base_coth( const double x );
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+### Examples
+
+```c
+#include "stdlib/math/base/special/coth.h"
+#include
+
+int main( void ) {
+ const double x[] = { -4.0, -3.11, -2.22, -1.33, -0.44, 0.44, 1.33, 2.22, 3.11, 4.0 };
+
+ double v;
+ int i;
+ for ( i = 0; i < 10; i++ ) {
+ v = stdlib_base_coth( x[ i ] );
+ printf( "coth(%lf) = %lf\n", x[ i ], v );
+ }
+}
+```
+
+
+
+
+
+
+
+
+