Number of solutions of the equation cot...

Number of solutions of the equation ` cot( theta ) + cot( theta +(pi)/(3))+ cot( theta -(pi)/(3))+ cot( 3 theta ) =0` , where ` theta in ( 0,(pi)/(2))`

A

`pi//3`

B

`pi//2`

C

`2pi//3`

D

`5pi//6`

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The correct Answer is:

a

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