diff --git a/src/ol/renderer/map.js b/src/ol/renderer/map.js
index c6f894a741..2668654b02 100644
--- a/src/ol/renderer/map.js
+++ b/src/ol/renderer/map.js
@@ -356,11 +356,7 @@ ol.renderer.Map.prototype.updateMatrices_ = function() {
         -1 / resolution,
         1);
     if (this.canRotate() && goog.isDef(rotation)) {
-      goog.vec.Mat4.rotate(this.coordinateToPixelMatrix_,
-          -rotation,
-          0,
-          0,
-          1);
+      goog.vec.Mat4.rotateZ(this.coordinateToPixelMatrix_, -rotation);
     }
     goog.vec.Mat4.translate(this.coordinateToPixelMatrix_,
         -center.x,
diff --git a/src/ol/renderer/webgl/tilelayer.js b/src/ol/renderer/webgl/tilelayer.js
index c6d896f3d1..a92abc0274 100644
--- a/src/ol/renderer/webgl/tilelayer.js
+++ b/src/ol/renderer/webgl/tilelayer.js
@@ -510,11 +510,7 @@ ol.renderer.webgl.TileLayer.prototype.render = function() {
           (framebufferExtent.maxY - framebufferExtent.minY),
       0);
   if (goog.isDef(mapRotation)) {
-    goog.vec.Mat4.rotate(this.matrix_,
-        mapRotation,
-        0,
-        0,
-        1);
+    goog.vec.Mat4.rotateZ(this.matrix_, mapRotation);
   }
   goog.vec.Mat4.scale(this.matrix_,
       (mapExtent.maxX - mapExtent.minX) /