diff --git a/lib/function/trigonometry/acoth.js b/lib/function/trigonometry/acoth.js
index 13efed051..ad25964b8 100644
--- a/lib/function/trigonometry/acoth.js
+++ b/lib/function/trigonometry/acoth.js
@@ -53,13 +53,15 @@ module.exports = function (math) {
 
       // acoth(z) = -i*atanh(1/z)
       var den = x.re*x.re + x.im*x.im;
-      if (den != 0) {
-        x.re =  x.re / den;
-        x.im = -x.im / den;
-      } else {
-        x.re = (x.re != 0) ?  (x.re / 0) : 0;
-        x.im = (x.im != 0) ? -(x.im / 0) : 0;
-      }
+      x = (den != 0)
+        ? new Complex(
+            x.re / den,
+           -x.im / den
+          )
+        : new Complex(
+            (x.re != 0) ?  (x.re / 0) : 0,
+            (x.im != 0) ? -(x.im / 0) : 0
+          );
 
       return math.atanh(x);
     }
diff --git a/lib/function/trigonometry/acsch.js b/lib/function/trigonometry/acsch.js
index 12b545869..0ce66bda7 100644
--- a/lib/function/trigonometry/acsch.js
+++ b/lib/function/trigonometry/acsch.js
@@ -48,22 +48,26 @@ module.exports = function (math) {
     }
 
     if (isComplex(x)) {
+      if (x.im == 0) {
+        x = (x.re != 0)
+          ? Math.log(x.re + Math.sqrt(x.re*x.re + 1))
+          : Infinity;
+        return new Complex(x, 0);
+      }
+
       // acsch(z) = -i*asinh(1/z)
       var den = x.re*x.re + x.im*x.im;
-      if (den != 0) {
-        x.re =  x.re / den;
-        x.im = -x.im / den;
-      } else {
-        x.re = (x.re != 0) ?  (x.re / 0) : 0;
-        x.im = (x.im != 0) ? -(x.im / 0) : 0;
-      }
+      x = (den != 0) 
+        ? new Complex(
+            x.re / den,
+           -x.im / den
+          )
+        : new Complex(
+            (x.re != 0) ?  (x.re / 0) : 0,
+            (x.im != 0) ? -(x.im / 0) : 0
+          );
 
-      if (x.im) {
-        return math.asinh(x);
-      }
-
-      x = 1 / x.re;
-      return new Complex(Math.log(x + Math.sqrt(x*x + 1)), 0);
+      return math.asinh(x);
     }
 
     if (isCollection(x)) {
diff --git a/lib/function/trigonometry/asech.js b/lib/function/trigonometry/asech.js
index b5a9fefec..b393b9770 100644
--- a/lib/function/trigonometry/asech.js
+++ b/lib/function/trigonometry/asech.js
@@ -54,13 +54,15 @@ module.exports = function (math) {
 
       // acsch(z) = -i*asinh(1/z)
       var den = x.re*x.re + x.im*x.im;
-      if (den != 0) {
-        x.re =  x.re / den;
-        x.im = -x.im / den;
-      } else {
-        x.re = (x.re != 0) ?  (x.re / 0) : 0;
-        x.im = (x.im != 0) ? -(x.im / 0) : 0;
-      }
+      x = (den != 0)
+        ? new Complex(
+            x.re / den,
+           -x.im / den
+          )
+        : new Complex(
+            (x.re != 0) ?  (x.re / 0) : 0,
+            (x.im != 0) ? -(x.im / 0) : 0
+          );
 
       return math.acosh(x);
     }
diff --git a/lib/function/trigonometry/asinh.js b/lib/function/trigonometry/asinh.js
index 0313f02ee..9393b6657 100644
--- a/lib/function/trigonometry/asinh.js
+++ b/lib/function/trigonometry/asinh.js
@@ -53,6 +53,11 @@ module.exports = function (math) {
       x.re = temp;
 
       var asin = math.asin(x);
+
+      // restore original values
+      x.re = -x.im;
+      x.im = temp;
+
       temp = asin.re;
       asin.re = -asin.im;
       asin.im = temp;