Which of the following is not same as `tan x`

A physical quantity x depends on quantities y and z as follows : x = Ay + B tan ( C z) , where A , B and C are constants. Which of the followings do not have the same dimensions?

Which of the following is true? tan 1>tan^(-1)1

Which of the following is/are correct? (tan x)^(In(cos x))<(cot x)^(ln(cos x))AA x in((pi)/(4),(pi)/(2))

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

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

[ If xgt0 then which of the following is true 1) tan^(-1)xgt(x)/(1+x^(2)), 2) tan^(-1)x=(x)/(1+x^(2)) 3) tan^(-1)xlt(x)/(1+x^(2)), 4) tan^(-1)x!=(x)/(1+x^(2))]

Let f(x)=tan^(-1)((sqrt(1+x^(2))-1)/(x)) then which of the following is correct :

Which of the following is greatest? tan1(b)tan4(c)tan7(d)tan10

If tan A=(1)/(2) and tan B=(1)/(3) , then which of the following is true ?

Which of the following is closest to the graph of y= tan (sin x), x gt 0 ?