graph TB
A[Calculating tan (?/2-x) and introducing cot x] --> B[Step 1: Understand the Problem]
A --> C[Step 2: Identify the Knowns]
A --> D[Step 3: Identify the Unknowns]
B --> E[Step 1.1: Break Down the Problem]
C --> F[Step 2.1: List the Knowns]
D --> G[Step 3.1: List the Unknowns]
E --> H[Step 1.2: Understand the Formula]
F --> I[Step 2.2: Apply the Knowns]
G --> J[Step 3.2: Solve for the Unknowns]
H --> K[Step 1.3: Understand tan and cot]
I --> L[Step 2.3: Substitute the Knowns into the Formula]
J --> M[Step 3.3: Solve the Equation]
K --> N[Step 1.4: Understand the Relationship between tan and cot]
L --> O[Step 2.4: Simplify the Equation]
M --> P[Step 3.4: Check the Solution]

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