Home
Class 11
MATHS
Number of solutions of the equation tan ...

Number of solutions of the equation `tan x+tan 2x +tan3x=tanx tan 2x tan 3x,x in [0,pi]` ils

A

`(pi)/6, (2pi)/3, pi`

B

`(pi)/3, (2pi)/3, pi`

C

`(pi)/3, (pi)/2, 2pi`

D

`(pi)/2, (3pi)/2, pi`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -I LEVEL -II MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|11 Videos
  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -I LEVEL -II LINKED COMPREHENSION TYPE QUESTIONS)|8 Videos
  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -I LEVEL -I STRAIGHT OBJECTIVE TYPE QUESTIONS)|32 Videos
  • TRANSFORMATIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I LEVEL-I Straight Objective Type Questions)|41 Videos
  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|77 Videos

Similar Questions

Explore conceptually related problems

Show that tan 3x tan 2x tan x = tan 3x - tan 2x - tan x

The number of solutions of the equation sin x tan x - sin x + tna x - 1 = 0 for x in [0, 2 pi] is

tan 5x- tan 3x - tan 2x =

The number of solutions of the equation 2cos 2x-3 cot 3 x =tan 2 x is

If tan x + tan 2x+tan 3x=tan x tan 2x tan 3x then |sin 3x+cos 3x|

The sum of the solutions of the equation tan x, tan 4 x =1 for 0 lt x lt pi is

The number of solutions of the equation tan x +sec x = 2 cos x lying in the interval [0, 2 pi] is