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Question

Mathematics Question on Trigonometric Equations

If A, B and C are acute positive angles such that A + B + C = π and cot A cot B cot c = K, then

A

K133K\leq \frac{1}{3\sqrt3}

B

K133K\geq \frac{1}{3\sqrt3}

C

K<19K\lt \frac{1}{9}

D

K>13K\gt \frac{1}{3}

Answer

K133K\leq \frac{1}{3\sqrt3}

Explanation

Solution

The correct answer is(A): K133K\leq \frac{1}{3\sqrt3}