Number of solutions of the equation
\[
\cot (\theta)+\cot \left(\theta+\frac{\pi}{3}\right)+\cot...
Number of solutions of the equation
\[
\cot (\theta)+\cot \left(\theta+\frac{\pi}{3}\right)+\cot \left(\theta-\frac{\pi}{3}\right)+\cot (3 \theta)=0
\]
where \( \theta \in(0, \pi) \).
(a) Infinite
(b) 0
(c) 1
(d) 2
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