Find the sum `cot^(-1) 2 + cot^(-1) 8 + cot^(-1) 18 + ...oo`

If the mapping f(x) = mx + c, m gt 0 maps [-1,1] onto [0,2] , then tan ( tan^(-1). 1/7 + cot ^(-1) 8 + cot ^(-1) 18) is equal to

Find the range of y = (cot^(-1) x) (cot^(-1) (-x))

find the value of tan^(-1){cot(-1/4)}

2cot^(- 1)5+cot^(- 1)7+2cot^(- 1)8=pi/4

Find the value of cot(tan^(-1)a+cot^(-1)a)

Find the value of: cot(tan^(-1)a+cot^(-1)a)

Find the set of values of cot^(-1)(1) and cot^(-1)(-1)

If A = 1/1 cot ^(-1) (1/1) + 1/2 cot^(-1) (1/2) + 1/3 cot ^(-1) ( 1/3) " and " B = 1 cot^(-1) ( 1) + 2 cot^(-1) (2) + 3 cot^(-1) (3) " then " |B - A| " is equal to " (api)/b + c/d cot ^(-1) (3) where a,b,c,d in N are in their lowest form , find ( b -a - c - d)

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

Prove that : cot^(-1)7+cot^(-1)8+cot^(-1)18=cot^(-1)3