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The general solution of sinx=-(sqrt(3))/...

The general solution of `sinx=-(sqrt(3))/(2)` is

A

`x=n pi +(-1)^(n)((2pi)/(3)), n in Z`

B

`x=n pi +(-1)^(n)((4pi)/(3)),n in Z`

C

` x= n pi +(-1)^(n)((pi)/(3)), n in Z`

D

`x=n pi +(-1)^(n)((7pi)/(6)), n in Z`

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Knowledge Check

  • General solution of sin4x=(sqrt(3))/(2) is

    A
    `(npi)/(4)+(-1)^(n)(pi)/(12), ninZ`
    B
    `(npi)/(4)+(-1)^(n)(pi)/(3), ninZ`
    C
    `npi+(-1)^(n)(pi)/(12), ninZ`
    D
    `npi+(-1)^(n)(pi)/(3), ninZ`
  • The principal solution of sinx=-(sqrt(3))/(2) is

    A
    `(pi)/(3)`
    B
    `(4pi)/(3)`
    C
    `(2pi)/(3)`
    D
    `-(4pi)/(3)`
  • 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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