39.(cot^(-1)x^(2))^(3)

Solve for x if (cot^(-1)x)^(2)-3(cot^(-1)x)+2>0

If (cot^(-1)x)^(2)-7(cot^(-1)x)+10>0 then range of x will be (A)(-oo,cot2)(B)(-oo,cot5)(C)(cot2,cot5)(D)(cot2,oo)

If x_(1),x_(2),x_(3) are the roots of x^(3)-6x^(2)+11x-6=0 then cot^(-1)(x_(1))+cot^(-1)(x_(2))+cot^(-1)(x_(3)) is equal to

The sum of the infinite series cot^(-1)((7)/(4))+cot^(-1)((19)/(4))+cot^(-1)((39)/(4))....oo

Solution set of inequality (cot^(-1)x)^(2)-5cot^(-1)x+6>0 is (A) (cot3,cot2)(B)(-oo,cot3)uu(cot2,oo)(C)(cot2,oo)(D) None of these

Solve for x: cot^(-1)(x-1)+cot^(-1)(x-2)+cot^(-1)(x-3)=0

cot^(2)x-(1)/(2)cot^(4)x+(1)/(3)cot^(6)x -(1)/(4)cot^(8)x+…oo=

cot^(2)x-(1)/(2)cot^(4)x+(1)/(3)cot^(6)x -(1)/(4)cot^(8)x+…oo=

cot ^(-1)""x+cot^(-1)""2x=(3pi)/(4)