Show that NP∩coNP =∅ I know that P is a subset of NP, but I'm not sure what this tells me about P as it relates to coNP?
I feel like this is how I should go about proving it, but I'm not sure how. Otherwise, I could find a language that is in both NP and coNP, but I'm not sure how to prove any examples of that.

I know that I can prove L and L complement both exists in P and therefore NP, but I don't know how to relate this to coNP.
Read the definition of NP and co-NP. By that definition, every problem in P is automatically both in NP and co-NP. There’s nothing to prove, that’s how they are defined.