show that the value of tan x/ tan 3x wherever it is defined never lies between 1/3 and 3 .
 

Dear student
y=tanxtan3x=tanx3tanx-tan3x1-3tan2x=tanx1-3tan2x3tanx-tan3x=1-3tan2x3-tan2x    tan3x03x0x0tanx0Let tanx =ty=1-3t23-t23y-t2y=1-3t23y-1=t2y-3t23y-1=t2y-3t2=3y-1y-33y-1y-30,t20 tRy-,133,Therefore, y is not defined in between 13,3
Regards

  • 2
What are you looking for?