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tan x+ tan(x+(pi)/(3))+ tan(x+(2pi)/(3))...

` tan x+ tan(x+(pi)/(3))+ tan(x+(2pi)/(3))=3impliestan 3 x= `

A

3

B

2

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The period of tan x tan ((2pi)/(3)-x ) tan ((2pi)/(3) + x) is

    A
    `(pi)/(2)`
    B
    `(pi)/(3)`
    C
    `(2pi)/(3)`
    D
    `pi`

  • x tan ( theta - (pi)/(6)) = y tan (theta + ( 2pi)/(3)) implies (x + y)/( x -y) =

    A
    `cos 2 theta `
    B
    ` 2 cos 2 theta `
    C
    `sin 2 theta `
    D
    `2 sin 2 theta `

  • x tan (theta - (pi)/(6)) = y tan (theta + (2pi)/(3)) implies (x + y)/(x -y) =

    A
    `cos 2 theta `
    B
    `2 cos 2 theta `
    C
    `sin 2 theta `
    D
    `2 sin 2 theta `

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