diff --git a/nerfstudio/models/gaussian_splatting.py b/nerfstudio/models/gaussian_splatting.py
index fe081734e..78ad185a2 100644
--- a/nerfstudio/models/gaussian_splatting.py
+++ b/nerfstudio/models/gaussian_splatting.py
@@ -60,7 +60,7 @@ def random_quat_tensor(N):
             torch.sqrt(1 - u) * torch.sin(2 * math.pi * v),
             torch.sqrt(1 - u) * torch.cos(2 * math.pi * v),
             torch.sqrt(u) * torch.sin(2 * math.pi * w),
-            torch.sqrt(u) * torch.sin(2 * math.pi * w),
+            torch.sqrt(u) * torch.cos(2 * math.pi * w),
         ],
         dim=-1,
     )