Q13 of 142 Page 11

Mark the Correct alternative in the following:

In (0, π), the number of solutions of the equation tan x + tan 2x + tan 3x = tan x tan 2x tan 3x is


tan x+tan2x+tan3x -tan xtan2xtan3x=0


tan x + tan2x + tan3x (1-tan xtan2x) = 0


tan x + tan2x = -tan3x (1-tan xtan2x)



tan 3x=-tan3x


2 tan3x=0


tan 3x=0


3x=2nπ



For


n=0, x=0


n=1,





so, there are only two possible solutions


Option D

More from this chapter

All 142 →
11

Mark the Correct alternative in the following:

If cot x – tan x = sec x, then x is equal to


 12

Mark the Correct alternative in the following:

A value of x satisfying is


 14

Mark the Correct alternative in the following:

The number of values of x in [0, 2π] that satisfy the equation


15

Mark the Correct alternative in the following:

If esin x – e– sin x – 4 = 0, then x =