Question

Let \(A, B, C\) be the angles of a plane triangle. If
\[ \tan \frac{A}{2} = \frac{1}{3} \quad \text{and} \quad \tan \frac{B}{2} = \frac{2}{3}, \]
then \(\tan \frac{C}{2}\) is equal to:

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

Hint:

Use the half-angle tangent identity for triangle angle problems.

Answer 1

The Correct Option is A