Sum of series of `^(cot^(-1)(5)/(sqrt(3))+cot^(-1)(9)/(sqrt(3))+cot^(-1)(15)/(sqrt(3))+cot^(-1)(23)/(sqrt(3))+......oo)` is equal to

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cot^(-1)(2+sqrt(3))=

cot^(-1)(-sqrt(3))

Cot^(-1)(-sqrt(3))

3cot^(-1)((1)/(2-sqrt(3)))+cot^(-1)x=(pi)/(2)

cot(tan^(-1)sqrt(3))

sin ^(-1) (1)/(sqrt(5))+cot ^(-1) 3=

tan^(-1)(sqrt3)-cot^(-1)(-sqrt3)

3 cot ^(-1)""(1)/(2-sqrt(3))+cot ^(-1)""x=(pi)/(2)