[" If "f(x)=ax+b,a>0" such that "],[f:[-1,1]rarr[0,2]," then "],[cof[cot^(-1)7+cot^(-1)8+cot^(-1)18]" is equal to "]

If the mapping f(x)=ax+b, a>0 maps [-1,1] on to [0,2] then cot[cot^(-1)(7)+cot^(-1)(8)+cot^(-1)(18)] is equal to

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

The value of cot[Cot^(-1)7+Cot^(-1)8+Cot^(-1)(18)] is

Prove that: cot^(-1)7+cot^(-1)18=cot^(-1)5 .

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

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

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

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