" III."(tan3x)/(tan x)" never lies between "(1)/(3)" and "3

Prove that (tan3x)/(tan x) never lies between (1)/(3) and 3

Prove that (tan3x)/(tan x) never lies between (1)/(3) and 3.

Prove that (tan 3 x)/(tan x) never lies between 1/3 and 3.

Prove that (tan x)/(tan 3 x) never lies between 1/3 and 3.

Prove that (tan3x)/(tanx) never lies between 1/3a n d3 .

Show that (sec^(2)theta-tan theta)/(sec^(2)theta+tan theta) lies between (1)/(3) and 3.

Given that for all real x, the expression (x^(2)-2x+4)/(x^(2)+2x+4) lies between (1)/(3) and 3 the values between which the expression (9tan^(2)x+6tanx+4)/(9tan^(2)x-6tanx+4) lies are

Show that: (sec^(2)theta-tan theta)/(sec^(2)theta+tan theta) lies between 3 and (1)/(3)

Prove that (sec^(2)theta-tan theta)/(sec^(2)theta+tan theta) lies between 3 and (1)/(3).