Question

Let \(A\), \(B\) and \(C\) are the angles of a triangle and \(\tan \frac{A}{2} = 1/3\), \(\tan \frac{B}{2} = \frac{2}{3}\). Then, \(\tan \frac{C}{2}\) is equal to:

• A. \(\frac{7}{9}\)
• B. \(\frac{2}{9}\)
• C. \(\frac{1}{3}\)
• D. \(\frac{2}{3}\)

Hint:

Always verify angle sum properties and recalculations when dealing with trigonometric identities in geometry.