If-in-a-ABC-3a-b-c-then-the-value-of-cot-B-2-cot-B-2-is-

Question Number 113822 by deepraj123 last updated on 15/Sep/20

If in a △ A B C, 3 a = b + c, then the

value of \cot \frac{B}{2} \cot \frac{B}{2} is

Answered by $@y@m last updated on 15/Sep/20

\cot^{2} \frac{B}{2} = \frac{s (s - b)}{(s - a) (s - c)} F o r m u l a

G i v e n,

3 a = b + c

4 a = a + b + c = 2 s

s = 2 a

∴ \cot^{2} \frac{B}{2} = \frac{2 a (2 a - b)}{a (2 a - c)} = \frac{2 (2 a - b)}{(2 a - c)}

Facebook Tweet Pin