Question

Given that: \[ \cot \left( \frac{A + B}{2} \right) \cdot \tan \left( \frac{A - B}{2} \right) \] and the equation involving coordinates: \[ \frac{x}{2} + \frac{y}{3} + \frac{2}{6} - 1 = 0 \] Find the area of \( \Delta ABC = 2 \).

• A. 2
• B. 3
• C. 4
• D. 5

Hint:

When working with geometry problems involving coordinates and trigonometry, always look for simplifications using the Pythagorean identity or other trigonometric identities to solve for the required quantities.