Which of the following inequalities are valid- `|tan^-1 x-tan^-1y|<= |x-y|AA x,y in R`

Which of the following statements are true: (A) |tan^(-1)x-tan^(-1)y|<=|x-y|, where x,y are real numbers.

Solve the following inequalities tan^(2) (arc sin x)gt 1

Solve the following system of inequations: 4(tan^(-1)x)^2-8tan^(-1)x+3<0

If (tan^(-1)x)^(3)+(tan^(-1)y)^(3)=1-3tan^(-1)x.tan^(-1)y . Then which of the following may be true (a) (x+y)/(tan1)=-2 (b) (tan^(-1)x)/(1-tan^(-1)y)=2 (c) (tan^(-1)x)/(1-tan^(-1)y)=2 (d) (x+y)/(cot1)=1

Solve the following inequalities : tan^2 x-(1+sqrt3)tan x+ sqrt3lt0

Solve the following equations : tan^(-1)(x/y)-"tan"^(-1)(x-y)/(x+y) is equal to

Solve the following equations : tan^(-1)(x/y)-"tan"^(-1)(x-y)/(x+y) is equal to