Which of the following is/are correct? `(tan x)^(In(cos x))<(cotx)^(In(cos x))AAx in (pi/4,pi/2)`

Which of the following is/are correct ? (tan x)^(log(sin x))>(Cot x)^(log(sin x)),AA x in(0,(pi)/(4))

Which of the following is/are correct? cot^(-1)(x)=tan^(-1)((1)/(x))AA x in R-{0}

f(x)=tan x-tan^(3)+tan^(5)x-tan^(7)x+.........oo, then which of the following-is/are correct?

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

If tan x+tan y=(sec x+sec y)/(cos x+cos y).(dy)/(dx) then which of the following is correct (1) sec(x+y)-tan(x+y)=x+c (2) sec(x+y)+tan(x+y)=x+c (3) tan(x+y)-sec(x+y)=x+c (4) None of these

Let f (x) =cos ^(-1) ((1-tan ^(2)(x//2))/(1+ tan ^(2) (x//2))) Which of the following statement (s) is/are correct about f (x) ?

Let f (x) =cos ^(-1) ((1-tan ^(2)(x//2))/(1+ tan ^(2) (x//2))) Which of the following statement (s) is/are correct about f (x) ?

Which of the following is correct value of x in Cr(CO)_x ?