The sum of the infinite series `cot^(-1)((7)/(4))+cot^(-1)((19)/(4))+cot^(-1)( (39)/(4))+cot^(-1)((67)/(4))+…..oo` is :

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

The sum of the series cot^(-1)((9)/(2))+cot^(-1)((33)/(4))+cot^(-1)((129)/(8))+…….oo is equal to :

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

Prove that : cot^(-1) 3 + cot^(-1).(3)/(4) = cot^(-1) .(1)/(3)

Sum of infinite terms of the series cot^(-1) ( 1^(2) + 3/4) + cot^(-1) ( 2^(2) + 3/4) + cot^(-1) ( 3^(2) + 3/4) + ... is

Prove that cot^(-1)(13)+cot^(-1)(21)+cot^(-1)(-8)=pi .

Prove: cot^(-1)(1/2)-1/2cot^(-1)(4/3)=pi/4

Statement 1: The value of cot^(-1)((7)/(4))+cot^(-1)((19)/(4))+...+cot^(-1)((4r^(2)+3)/(4))+... upto infinity is tan^(-1)(2) . Statement 2: sum_(r=1)^(n)"tan"(x_(r)-x_(r-1))/(1+x_(r-1)x_(r))=tan^(-1)x_(n)-tan^(-1)x_(0) .

Find the value of sin((1)/(2) cot^(-1) (-(3)/(4)))

The sum to infinite terms of the series cot^(- 1)(2^2+1/2)+cot^(- 1)(2^3+1/(2^2))+cot^(- 1)(2^4+1/(2^3))+... is