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The solution set of inequality (tan^(-...

The solution set of inequality
`(tan^(-1)x)(cot^(-1)x)-(tan^(-1)x)(1+(x)/(2))-2cot^(-1)x+2(1+(pi)/(2))gtlim_(yrarr-oo)[sec^(-1)y-(pi)/(2)]` is (where [ . ]denotes the G.I.F.)

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The solution set of inequality (tan^(-1)x)(cot^(-1)x)-(tan^(-1)x)(1+(pi)/(2))-2cot^(-1)x+2(1+(pi)/(2))gtlim_(yrarr-oo)[sec^(-1)y-(pi)/(2)] is (where [ . ]denotes the G.I.F.)

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

The solution set of inequality ( cot^(-1) x) (tan^(-1) x) + (2 - pi/2) cot^(-1) x - 3 tan^(-1) x - 3 ( 2 - pi/2) gt 0 , is

The solution set of inequality ( cot^(-1) x) (tan^(-1) x) + (2 - pi/2) cot^(-1) x - 3 tan^(-1) x - 3 ( 2 - pi/2) gt 0 , is

The solution set of inequality ( cot^(-1) x) (tan^(-1) x) + (2 - pi/2) cot^(-1) x - 3 tan^(-1) x - 3 ( 2 - pi/2) gt 0 , is

tan ^(-1) (cot x) + cot ^(-1) (tan x) =(pi)/(4)

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

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

tan^(-1) (cot x) +cot^(-1)(tan x) =pi -2x

prove that tan^(-1)x+cot^(-1)x=pi/2