How can I force first-person camera rotation?

I'm working on a script which involves changing the CFrame of HumanoidRootPart. This script also changes the direction (using CFrame.Angles()). The script rotates the player fine, as expected, but the camera will still face the same way, even in single player.

Is there any way I can force camera rotation with player rotation while still keeping the default mouselook, or should I make my own mouselook to work around this issue?