1. State the problem: Evaluate or rewrite $\cot(x)$. 2. Use the definition of cotangent: $$\cot(x)=\frac{\cos(x)}{\sin(x)}$$ 3. Important rule (where it works): We need $\sin(x)\neq 0$ so the fraction is defined. 4. Final answer: $$\cot(x)=\frac{\cos(x)}{\sin(x)}\quad\text{(for }\sin(x)\neq 0\text{)}$$