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

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

Prove that 5costheta+3cos(theta+pi/3)+3 lies between -4a n d10.

Prove that 5costheta+3cos(theta+pi/3)+3 lies between -4a n d10.

If y=(tanx)/(tan3x), then

Prove that log_(10) 2" lies between " 1/4 and 1/3 .

Prove that 5costheta+3cos(theta+pi/3)+3 lies between -4 and 10 .

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

The number of real roots of the equation x^2tanx=1 lies between 0 and 2pi is/are (A) 1 (B) 2 (C) 3 (D) 4

Solve (tan3x-tan2x)/(1+tan3xtan2x )=1

Prove that : tan^(-1)2+tan^(-1)3=(3pi)/4