Dropdowns and responsive navbar leaves white dropdown caret when in responsive layout

[connorkdev]

When using a responsive navbar with dropdowns, the white dropdown caret remains when in the responsive layout. The two images below illustrate the caret in the normal layout (acting as it should) and how it still remains in the responsive layout (where it shouldn't be).

I initially thought that this was an issue with my code but upon inspecting the Responsive Navbar demo on the bootstrap documentation, you can see the same issue occurring. It is harder to notice since the demo isn't using .navbar-inverse.