The solution set of inequality (cot^(-1)...

The solution set of inequality `(cot^(-1)x)(tan^(-1)x)+(2-pi/2)cot^(-1)x-3tan^(-1)x-3(2-pi/2)gt 0` is (a, b) then the value of `cot^(-1)a+cot^(-1)b` is

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The value of sin(Cot^(-1)(cos(Tan^(-1)x))) is

`sqrt((x^(2)+2)/(x^(2)+1))`

`sqrt((x^(2)+1)/(x^(2)+2))`

`x/sqrt(x^(2)+2)`

`1/sqrt(x^(2)+2)`

`sqrt((x^(2)-1)/(x^(2)+2))`

`sqrt((x-2)/(x^(2)+1))`

`sqrt((x^(2)+1)/(x^(2)+2))`

`1/(sqrt(x^(2)-1))`