If A, B, C are the angles of a triangle, then the value of \(\frac{{\tan \left( {B + C} \right) + \tan \left( {C + A} \right) + \tan \left( {A + B} \right)}}{{\tan \left( {\pi - A} \right) + \tan \left( {\pi - B} \right) + \tan \left( {\pi - C} \right)}}\) is equal to -

• A. 0
• B. 1
• C. π/2
• D. tan (A+B+C)