trigonometry

Question: If A, B, C are acute positive angles such that $A+B+C=\pi $ and $\cot A\,\cot \,B\,\cot \,C=K,$ then



1) $K\le \frac{1}{3\sqrt{3}}$
2) $K\ge \frac{1}{3\sqrt{3}}$
3) $K < \frac{1}{9}$
4) $K>\frac{1}{3}$
Solution: Explanation: No Explanation
Maximum & minimum values of trigonometric functions Conditional trigonometric identities

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