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

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

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.)

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.)

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

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

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.)

If x ne n pi, x ne (2n+1) (pi)/(2) n in Z, then : sin^(-1) ((sin^(-1) (cos x) + cos ^(-1) (sin x))/(tan^(-1) (cot x) + cot^(-1) (tan x )))=

If Tan^(-1)((x-1)/(x-2))+Cot^(-1)((x+2)/(x+1))=pi/4 , then x =

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