graph TB
A[Deriving the formula for tan (x+y), tan (x-y)]
B[Step 1: Start with the basic trigonometric identities]
C[Step 2: Use the formula for tan (a+b) and tan (a-b)]
D[Step 3: Simplify the equations]
E[Step 4: Derive the final formula]
A --> B
B --> C
C --> D
D --> E

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