diff --git a/src/ol/control/scalelinecontrol.js b/src/ol/control/scalelinecontrol.js
index 7c043e616c..0472972131 100644
--- a/src/ol/control/scalelinecontrol.js
+++ b/src/ol/control/scalelinecontrol.js
@@ -6,13 +6,13 @@ goog.require('goog.asserts');
 goog.require('goog.dom');
 goog.require('goog.dom.TagName');
 goog.require('goog.events');
-goog.require('goog.math');
 goog.require('goog.style');
 goog.require('ol');
 goog.require('ol.Object');
 goog.require('ol.TransformFunction');
 goog.require('ol.control.Control');
 goog.require('ol.css');
+goog.require('ol.math');
 goog.require('ol.proj');
 goog.require('ol.proj.METERS_PER_UNIT');
 goog.require('ol.proj.Units');
@@ -218,7 +218,7 @@ ol.control.ScaleLine.prototype.updateElement_ = function() {
 
     // Convert pointResolution from degrees to meters
     this.toEPSG4326_ = null;
-    cosLatitude = Math.cos(goog.math.toRadians(center[1]));
+    cosLatitude = Math.cos(ol.math.toRadians(center[1]));
     pointResolution *= Math.PI * cosLatitude * ol.sphere.NORMAL.radius / 180;
     projectionUnits = ol.proj.Units.METERS;
 
@@ -230,7 +230,7 @@ ol.control.ScaleLine.prototype.updateElement_ = function() {
       this.toEPSG4326_ = ol.proj.getTransformFromProjections(
           projection, ol.proj.get('EPSG:4326'));
     }
-    cosLatitude = Math.cos(goog.math.toRadians(this.toEPSG4326_(center)[1]));
+    cosLatitude = Math.cos(ol.math.toRadians(this.toEPSG4326_(center)[1]));
     var radius = ol.sphere.NORMAL.radius;
     goog.asserts.assert(ol.proj.METERS_PER_UNIT[projectionUnits],
         'Meters per unit should be defined for the projection unit');
diff --git a/src/ol/deviceorientation.js b/src/ol/deviceorientation.js
index ac08dbd56c..a1724f559b 100644
--- a/src/ol/deviceorientation.js
+++ b/src/ol/deviceorientation.js
@@ -2,10 +2,10 @@ goog.provide('ol.DeviceOrientation');
 goog.provide('ol.DeviceOrientationProperty');
 
 goog.require('goog.events');
-goog.require('goog.math');
 goog.require('ol');
 goog.require('ol.Object');
 goog.require('ol.has');
+goog.require('ol.math');
 
 
 /**
@@ -115,24 +115,24 @@ ol.DeviceOrientation.prototype.orientationChange_ = function(browserEvent) {
   var event = /** @type {DeviceOrientationEvent} */
       (browserEvent.getBrowserEvent());
   if (event.alpha !== null) {
-    var alpha = goog.math.toRadians(event.alpha);
+    var alpha = ol.math.toRadians(event.alpha);
     this.set(ol.DeviceOrientationProperty.ALPHA, alpha);
     // event.absolute is undefined in iOS.
     if (goog.isBoolean(event.absolute) && event.absolute) {
       this.set(ol.DeviceOrientationProperty.HEADING, alpha);
     } else if (goog.isNumber(event.webkitCompassHeading) &&
                event.webkitCompassAccuracy != -1) {
-      var heading = goog.math.toRadians(event.webkitCompassHeading);
+      var heading = ol.math.toRadians(event.webkitCompassHeading);
       this.set(ol.DeviceOrientationProperty.HEADING, heading);
     }
   }
   if (event.beta !== null) {
     this.set(ol.DeviceOrientationProperty.BETA,
-        goog.math.toRadians(event.beta));
+        ol.math.toRadians(event.beta));
   }
   if (event.gamma !== null) {
     this.set(ol.DeviceOrientationProperty.GAMMA,
-        goog.math.toRadians(event.gamma));
+        ol.math.toRadians(event.gamma));
   }
   this.changed();
 };
diff --git a/src/ol/format/kmlformat.js b/src/ol/format/kmlformat.js
index 7978721c86..3cf88b9e19 100644
--- a/src/ol/format/kmlformat.js
+++ b/src/ol/format/kmlformat.js
@@ -10,7 +10,6 @@ goog.require('goog.Uri');
 goog.require('goog.array');
 goog.require('goog.asserts');
 goog.require('goog.dom.NodeType');
-goog.require('goog.math');
 goog.require('ol');
 goog.require('ol.Feature');
 goog.require('ol.FeatureStyleFunction');
@@ -30,6 +29,7 @@ goog.require('ol.geom.MultiPoint');
 goog.require('ol.geom.MultiPolygon');
 goog.require('ol.geom.Point');
 goog.require('ol.geom.Polygon');
+goog.require('ol.math');
 goog.require('ol.proj');
 goog.require('ol.style.Fill');
 goog.require('ol.style.Icon');
@@ -533,7 +533,7 @@ ol.format.KML.IconStyleParser_ = function(node, objectStack) {
   var heading = /** @type {number} */
       (object['heading']);
   if (heading !== undefined) {
-    rotation = goog.math.toRadians(heading);
+    rotation = ol.math.toRadians(heading);
   }
 
   var scale = /** @type {number|undefined} */
diff --git a/src/ol/geolocation.js b/src/ol/geolocation.js
index cb72ecc502..001dd8c15c 100644
--- a/src/ol/geolocation.js
+++ b/src/ol/geolocation.js
@@ -5,12 +5,12 @@ goog.provide('ol.GeolocationProperty');
 
 goog.require('goog.events');
 goog.require('goog.events.EventType');
-goog.require('goog.math');
 goog.require('ol.Coordinate');
 goog.require('ol.Object');
 goog.require('ol.geom.Geometry');
 goog.require('ol.geom.Polygon');
 goog.require('ol.has');
+goog.require('ol.math');
 goog.require('ol.proj');
 goog.require('ol.sphere.WGS84');
 
@@ -160,7 +160,7 @@ ol.Geolocation.prototype.positionChange_ = function(position) {
       coords.altitudeAccuracy === null ?
       undefined : coords.altitudeAccuracy);
   this.set(ol.GeolocationProperty.HEADING, coords.heading === null ?
-      undefined : goog.math.toRadians(coords.heading));
+      undefined : ol.math.toRadians(coords.heading));
   if (!this.position_) {
     this.position_ = [coords.longitude, coords.latitude];
   } else {
diff --git a/src/ol/geom/flat/geodesicflatgeom.js b/src/ol/geom/flat/geodesicflatgeom.js
index c39811bccd..3054f9f8c6 100644
--- a/src/ol/geom/flat/geodesicflatgeom.js
+++ b/src/ol/geom/flat/geodesicflatgeom.js
@@ -1,7 +1,6 @@
 goog.provide('ol.geom.flat.geodesic');
 
 goog.require('goog.asserts');
-goog.require('goog.math');
 goog.require('goog.object');
 goog.require('ol.TransformFunction');
 goog.require('ol.math');
@@ -102,12 +101,12 @@ ol.geom.flat.geodesic.greatCircleArc = function(
 
   var geoProjection = ol.proj.get('EPSG:4326');
 
-  var cosLat1 = Math.cos(goog.math.toRadians(lat1));
-  var sinLat1 = Math.sin(goog.math.toRadians(lat1));
-  var cosLat2 = Math.cos(goog.math.toRadians(lat2));
-  var sinLat2 = Math.sin(goog.math.toRadians(lat2));
-  var cosDeltaLon = Math.cos(goog.math.toRadians(lon2 - lon1));
-  var sinDeltaLon = Math.sin(goog.math.toRadians(lon2 - lon1));
+  var cosLat1 = Math.cos(ol.math.toRadians(lat1));
+  var sinLat1 = Math.sin(ol.math.toRadians(lat1));
+  var cosLat2 = Math.cos(ol.math.toRadians(lat2));
+  var sinLat2 = Math.sin(ol.math.toRadians(lat2));
+  var cosDeltaLon = Math.cos(ol.math.toRadians(lon2 - lon1));
+  var sinDeltaLon = Math.sin(ol.math.toRadians(lon2 - lon1));
   var d = sinLat1 * sinLat2 + cosLat1 * cosLat2 * cosDeltaLon;
 
   return ol.geom.flat.geodesic.line_(
@@ -126,10 +125,10 @@ ol.geom.flat.geodesic.greatCircleArc = function(
         var x = cosLat1 * sinLat2 - sinLat1 * cosLat2 * cosDeltaLon;
         var theta = Math.atan2(y, x);
         var lat = Math.asin(sinLat1 * cosD + cosLat1 * sinD * Math.cos(theta));
-        var lon = goog.math.toRadians(lon1) +
+        var lon = ol.math.toRadians(lon1) +
             Math.atan2(Math.sin(theta) * sinD * cosLat1,
                        cosD - sinLat1 * Math.sin(lat));
-        return [goog.math.toDegrees(lon), goog.math.toDegrees(lat)];
+        return [ol.math.toDegrees(lon), ol.math.toDegrees(lat)];
       }, ol.proj.getTransform(geoProjection, projection), squaredTolerance);
 };
 
diff --git a/src/ol/math.js b/src/ol/math.js
index 0d2e582d44..a2659c34d2 100644
--- a/src/ol/math.js
+++ b/src/ol/math.js
@@ -123,3 +123,25 @@ ol.math.tanh = function(x) {
   var expMinusTwoX = Math.exp(-2 * x);
   return (1 - expMinusTwoX) / (1 + expMinusTwoX);
 };
+
+
+/**
+ * Converts radians to to degrees.
+ *
+ * @param {number} angleInRadians Angle in radians.
+ * @return {number} Angle in degrees.
+ */
+ol.math.toDegrees = function(angleInRadians) {
+  return angleInRadians * 180 / Math.PI;
+};
+
+
+/**
+ * Converts degrees to radians.
+ *
+ * @param {number} angleInDegrees Angle in degrees.
+ * @return {number} Angle in radians.
+ */
+ol.math.toRadians = function(angleInDegrees) {
+  return angleInDegrees * Math.PI / 180;
+};
diff --git a/src/ol/rotationconstraint.js b/src/ol/rotationconstraint.js
index 69996cfaf4..b660a36444 100644
--- a/src/ol/rotationconstraint.js
+++ b/src/ol/rotationconstraint.js
@@ -1,7 +1,7 @@
 goog.provide('ol.RotationConstraint');
 goog.provide('ol.RotationConstraintType');
 
-goog.require('goog.math');
+goog.require('ol.math');
 
 
 /**
@@ -66,7 +66,7 @@ ol.RotationConstraint.createSnapToN = function(n) {
  * @return {ol.RotationConstraintType} Rotation constraint.
  */
 ol.RotationConstraint.createSnapToZero = function(opt_tolerance) {
-  var tolerance = opt_tolerance || goog.math.toRadians(5);
+  var tolerance = opt_tolerance || ol.math.toRadians(5);
   return (
       /**
        * @param {number|undefined} rotation Rotation.
diff --git a/src/ol/sphere/sphere.js b/src/ol/sphere/sphere.js
index 259e6d3bfb..ebd6f96592 100644
--- a/src/ol/sphere/sphere.js
+++ b/src/ol/sphere/sphere.js
@@ -7,7 +7,7 @@
 
 goog.provide('ol.Sphere');
 
-goog.require('goog.math');
+goog.require('ol.math');
 
 
 
@@ -57,9 +57,9 @@ ol.Sphere.prototype.geodesicArea = function(coordinates) {
   var y1 = coordinates[len - 1][1];
   for (var i = 0; i < len; i++) {
     var x2 = coordinates[i][0], y2 = coordinates[i][1];
-    area += goog.math.toRadians(x2 - x1) *
-        (2 + Math.sin(goog.math.toRadians(y1)) +
-        Math.sin(goog.math.toRadians(y2)));
+    area += ol.math.toRadians(x2 - x1) *
+        (2 + Math.sin(ol.math.toRadians(y1)) +
+        Math.sin(ol.math.toRadians(y2)));
     x1 = x2;
     y1 = y2;
   }
@@ -76,10 +76,10 @@ ol.Sphere.prototype.geodesicArea = function(coordinates) {
  * @api
  */
 ol.Sphere.prototype.haversineDistance = function(c1, c2) {
-  var lat1 = goog.math.toRadians(c1[1]);
-  var lat2 = goog.math.toRadians(c2[1]);
+  var lat1 = ol.math.toRadians(c1[1]);
+  var lat2 = ol.math.toRadians(c2[1]);
   var deltaLatBy2 = (lat2 - lat1) / 2;
-  var deltaLonBy2 = goog.math.toRadians(c2[0] - c1[0]) / 2;
+  var deltaLonBy2 = ol.math.toRadians(c2[0] - c1[0]) / 2;
   var a = Math.sin(deltaLatBy2) * Math.sin(deltaLatBy2) +
       Math.sin(deltaLonBy2) * Math.sin(deltaLonBy2) *
       Math.cos(lat1) * Math.cos(lat2);
@@ -97,8 +97,8 @@ ol.Sphere.prototype.haversineDistance = function(c1, c2) {
  * @return {ol.Coordinate} The target point.
  */
 ol.Sphere.prototype.offset = function(c1, distance, bearing) {
-  var lat1 = goog.math.toRadians(c1[1]);
-  var lon1 = goog.math.toRadians(c1[0]);
+  var lat1 = ol.math.toRadians(c1[1]);
+  var lon1 = ol.math.toRadians(c1[0]);
   var dByR = distance / this.radius;
   var lat = Math.asin(
       Math.sin(lat1) * Math.cos(dByR) +
@@ -106,5 +106,5 @@ ol.Sphere.prototype.offset = function(c1, distance, bearing) {
   var lon = lon1 + Math.atan2(
       Math.sin(bearing) * Math.sin(dByR) * Math.cos(lat1),
       Math.cos(dByR) - Math.sin(lat1) * Math.sin(lat));
-  return [goog.math.toDegrees(lon), goog.math.toDegrees(lat)];
+  return [ol.math.toDegrees(lon), ol.math.toDegrees(lat)];
 };
diff --git a/test/spec/ol/math.test.js b/test/spec/ol/math.test.js
index 44b41ccc23..fd0796329d 100644
--- a/test/spec/ol/math.test.js
+++ b/test/spec/ol/math.test.js
@@ -196,4 +196,31 @@ describe('ol.math.tanh', function() {
 });
 
 
+describe('ol.math.toDegrees', function() {
+  it('returns the correct value at -π', function() {
+    expect(ol.math.toDegrees(-Math.PI)).to.be(-180);
+  });
+  it('returns the correct value at 0', function() {
+    expect(ol.math.toDegrees(0)).to.be(0);
+  });
+  it('returns the correct value at π', function() {
+    expect(ol.math.toDegrees(Math.PI)).to.be(180);
+  });
+});
+
+
+describe('ol.math.toRadians', function() {
+  it('returns the correct value at -180', function() {
+    expect(ol.math.toRadians(-180)).to.be(-Math.PI);
+  });
+  it('returns the correct value at 0', function() {
+    expect(ol.math.toRadians(0)).to.be(0);
+  });
+  it('returns the correct value at 180', function() {
+    expect(ol.math.toRadians(180)).to.be(Math.PI);
+  });
+});
+
+
+
 goog.require('ol.math');