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Find the value of cot x +cot (x+pi/3) +cot (x+2pi/3) =?

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Solution:   We have ,

                  cot (x)+cot (x+fracpi3)+cot (x+frac2pi3)

              Let      t=	an x ,  Then we have

             frac1t+frac1-sqrt3tt+sqrt3+frac1+sqrt3tt-sqrt3=frac3(1-3t^2)t(3-t^2)=frac3	an 3x=3cot 3x.

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Deependra Verma

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