Set Proof help

P={\(\frac{a}{c}\)|a,c\(\epsilon \)N and a²+b² = c² for some b \(\epsilon \) N }

T= {x\(\epsilon \)R| sin(x) \(\epsilon \) P}

C= {x\(\epsilon \)R| cos(x) \(\epsilon \)​ Q}

 

Prove that T is a subset of C. You will need pythagorean identity ( sin²(x) + cos²(x) = 1)