Home
Class 12
MATHS
The general solution of the equation tan...

The general solution of the equation `tan x+tan(x+pi/3)+tan(x+(2pi)/3)=3` is

A

`(npi)/4+pi/12,nin 1`

B

`(npi)/3+pi/6,nin 1`

C

`(npi)/3+pi/12,nin 1`

D

None of the these

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION

    MOTION|Exercise EXERCISE 3|28 Videos

  • TRIGONOMETRIC EQUATION

    MOTION|Exercise EXERCISE 4|10 Videos

  • TRIGONOMETRIC EQUATION

    MOTION|Exercise EXERCISE 1|23 Videos

  • TRIGNOMETRIC RATIOS & IDENTITIES

    MOTION|Exercise Exercise -4(Level -II)|9 Videos

  • VECTOR

    MOTION|Exercise EXERCISE - 4 ( LEVEL-II)|41 Videos

Similar Questions

Explore conceptually related problems

The general solution of the equation tan x+tan(x+(pi)/(3))+tan(x+(2 pi)/(3))=3 is

The general solution of the equation tan x+tan(x+(pi)/(3))+tan(x+(2 pi)/(3))=3and why canl't we use tan A+tan B+tan C=tan A*tan B.tan C

Knowledge Check

  • The general solution of the equation "tan" 3x = "tan" 5x , is

    A
    `x = (npi)/(2), n in Z`
    B
    `x = n pi, n in Z`
    C
    `x = (2n+1) pi, n in Z`
    D
    none of these

  • The general solution of the equation tan 3x + cot (2x + (pi)/(3)) = 0 is :

    A
    `n pi + (pi)/(3), n in z`
    B
    `2 npi pm (pi)/(6), n in z`
    C
    `2 n pi pm (pi)/(3), n in z`
    D
    `n pi + (5pi)/(6), n in z`

    • Similar Questions

    Explore conceptually related problems

    The general solution of the equation tan x+tan2x+tan x.tan2x=1 is

    The general solution of the equation (tan x)/(tan2x)+(tan2x)/(tan x)+2=0 is

    The general solution of the equation (tan x)/(tan(2x))+(tan(2x))/(tan x)+2=0 is

    Number of solution of the equation tan3x+tan x=0 in (0,pi) is

    The general solution of the equation tan(x+20^(@))tan(x-40^(@))=tan(x-20^(@))tan(x+40^(@)) is

    tan x*tan(x+(pi)/(3))*tan(x+(2 pi)/(3))=sqrt(3)

    Home
    Profile