Proving Cos 2Npi Y Cos 2Npi Y Cos Y

Proving cos(2npi+y)=cos(2npi-y)=cos(y)

graph TD; A["Proving cos(2npi+y)=cos(2npi-y)=cos(y)] --> B[Step 1: Define Variables"]; A --> C[Step 2: Apply Trigonometric Identity]; A --> D[Step 3: Simplify Equation]; B --> E[Variable 1: n]; B --> F[Variable 2: y]; C --> G["Identity: cos(a+b) = cos(a)cos(b) - sin(a)sin(b)"]; C --> H["Identity: cos(a-b) = cos(a)cos(b) + sin(a)sin(b)"]; D --> I["Simplify: cos(2npi+y)"]; D --> J["Simplify: cos(2npi-y)"]; D --> K["Simplify: cos(y)"];