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

Let f(x)=cos^(-1)((1-tan^(2)(x)/(2))/(1+tan^(2)(x)/(2))) . Then which of the following statement is/are true ?

Let f(x)=cos^(-1)((1-tan^(2)(x)/(2))/(1+tan^(2)(x)/(2))) . Then which of the following statement is/are true ?

Let f(x)=cos^(-1)((1-tan^(2)(x)/(2))/(1+tan^(2)(x)/(2))) . Then which of the following statement is/are true ?

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

Write whether the following statements are true of false. 3"tan"^(-1)3="tan"^(-1)9/(13)

Write whether the following statements are true or false. "tan"^(-1)2+"tan"^(-1)3=-pi/(4)

Which of the following statements about tan10^(@) is true?

Which of the following statements about tan10^(@) is true?

Which of the following is/are true? tan ^(-1)|tan x|=|x|

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) (x+y)/(tan1)=2 (D) (x+y)/(cot1)=1