In a triangle, sides are $a, b, c$ and angles are $A, B, C$. If $b+c=3 a$, then $\cot \frac{B}{2} \c

Question

In a triangle, sides are $a, b, c$ and angles are $A, B, C$. If $b+c=3 a$, then $\cot \frac{B}{2} \cot \frac{C}{2}$ is equal to

Professor PC Thomas Classes · Answer

Trigonometric identities and triangle properties.