A) 1
B) 2
C) \[{{\sin }^{2}}\alpha +{{\sin }^{2}}\beta -{{\sin }^{2}}\gamma \]
D) \[\text{2 sin }\alpha \text{ sin}\beta \text{ cos }\gamma \]
Correct Answer: B
Solution :
\[\cot \frac{B}{2}\cot \frac{C}{2}\] \[=\sqrt{\frac{s(s-b)}{(s-a)(s-c)}.\frac{s(s-c)}{(s-a)(s-b)}}\] \[=\frac{s}{(s-a)}\] [\[\because \]\[3a=b+c\text{ }or\text{ a}+b+c=2s=4a\]] \[=\frac{2a}{a}=2\]You need to login to perform this action.
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