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Find the principal and general solution...

Find the principal and general solution of `tanx=sqrt(3)`.

Text Solution

Verified by Experts

The correct Answer is:
`x=pi/3` and `(4pi)/3`
`x=n pi + pi/3, n in mathbbZ`

`tanx=sqrt3`
`tanx=tan\ pi/3`
`x=pi/3`
Or `tanx=tan(pi + pi/3)`
`tanx=tan\ (4 pi)/3`
`x=(4 pi)/3`
Hence, the principal solutions are `x=pi/3` and `(4pi)/3`.
Hence, the general solution is `x=n pi + pi/3, \ n in mathbbZ`.
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Knowledge Check

  • Find general solution of tanx=sqrt(3)

    A
    `x=npi+pi/6`
    B
    `x=npi+pi/3`
    C
    `x=npi+-pi/6`
    D
    `x=npi+-pi/3`
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