simplifying expressions – How to prevent TrigReduce auto evaluating Sin/Cos

Mathematica automatically evaluates Sin/Cos when TrigReduce. For example, TrigReduce(Cos(2*t)*Cos(2*t)) results in 1/2 (1 + Cos(4 t)). My application would like TrigReduce to keep the Sin/Cos as is. For example, I’d like to have 1/2 (Cos(0 t) + Cos(4 t)) as the output. I tried to use Inactivate, but that seems to prevent TrigReduce from working as well.