`f(x)=[tan x]+sqrt(tan x-[tan x]): 0 le x lt (pi)/(2)` then `f(x)` is [],[ G.I.F ]

If f (x) = tan ^(-1)sqrt((1 + sin x )/(1 - sin x)), 0 le x le (pi)/(2) then f' ((pi)/(6)) =?

If f(x) = tan^(-1)(sqrt((1+sinx)/(1-sinx))), 0 lt x lt pi/2 , then f'(pi/6) is

Prove that f(x) = [tan x] + sqrt(tan x - [tan x]) . (where [.] denotes greatest integer function) is continuous in [0, (pi)/(2)) .

Let f(x)=tan x tan2x+tan2x tan4x+tan4xtan x where x=(2 pi)/(7). Find |f(x)+3|

If (x) is a function given by f(x) = |{:(sinx , sin a, sin b),(cosx,cosa,cosb),(tan x , tan a, tan b):}|" where"0 lt altblt(pi)/(2) Then the equatiion f'(x)=0