diff --git a/src/Magnum/Math/Quaternion.h b/src/Magnum/Math/Quaternion.h
index 119b55877..cb0232d05 100644
--- a/src/Magnum/Math/Quaternion.h
+++ b/src/Magnum/Math/Quaternion.h
@@ -112,7 +112,13 @@ Expects that both quaternions are normalized. @f[
 template<class T> inline Quaternion<T> slerp(const Quaternion<T>& normalizedA, const Quaternion<T>& normalizedB, T t) {
     CORRADE_ASSERT(normalizedA.isNormalized() && normalizedB.isNormalized(),
         "Math::slerp(): quaternions must be normalized", {});
-    const T a = Implementation::angle(normalizedA, normalizedB);
+    const T cosHalfAngle = dot(normalizedA, normalizedB);
+    if(std::abs(cosHalfAngle) >= T(1)) {
+        /* The angle `a` between the quaternions `A` and `B` is 0 and we cannot
+           divide by sin(a). This is the case for `A == B` or `A == -B`. */
+        return Quaternion<T>{normalizedA};
+    }
+    const T a = std::acos(cosHalfAngle);
     return (std::sin((T(1) - t)*a)*normalizedA + std::sin(t*a)*normalizedB)/std::sin(a);
 }
 
diff --git a/src/Magnum/Math/Test/QuaternionTest.cpp b/src/Magnum/Math/Test/QuaternionTest.cpp
index c7aabe50d..33cf20b0b 100644
--- a/src/Magnum/Math/Test/QuaternionTest.cpp
+++ b/src/Magnum/Math/Test/QuaternionTest.cpp
@@ -438,6 +438,9 @@ void QuaternionTest::slerp() {
 
     Quaternion slerp = Math::slerp(a, b, 0.35f);
     CORRADE_COMPARE(slerp, Quaternion({0.1191653f, 0.0491109f, 0.0491109f}, 0.9904423f));
+
+    CORRADE_COMPARE(Math::slerp(Quaternion(), Quaternion(), 0.25f), Quaternion());
+    CORRADE_COMPARE(Math::slerp(Quaternion(), -Quaternion(), 0.42f), Quaternion());
 }
 
 void QuaternionTest::transformVector() {