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The principal solution of tanx=sqrt(3) i...

The principal solution of `tanx=sqrt(3)` is `theta` then find `3theta`.

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Knowledge Check

  • The solution set of sqrt(3)cos theta = sin theta is

    A
    `{n pi +(pi)/(3) : n in X}`
    B
    `{n pi pm (pi)/(3) : n in Z}`
    C
    `{n pi pm (pi)/(6) : n in Z}`
    D
    `{n pi + (pi)/(6) : n in Z}`

  • One of the general solutions of sqrt(3) cos theta - 3 sin theta = 4 sin 2 theta cos 3 theta is

    A
    `n pi + pi //18 , n in Z`
    B
    `n pi // 2 + pi // 6, AA n in Z`
    C
    `n pi // 3 + pi // 18 , n in Z`
    D
    `(n pi)/( 3) + (pi)/( 9) , n in Z`

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    Find the principal solutions of the angles in the equations 3 tan^(2) theta = 1

    Find the principal solutions of the angles in the equation 3 tan^(2) theta = 1

    Find the principal solutions of the angles in the equations sqrt(3) sec theta + 2 = 0

    Find the principal solutions of the angles in the equation sqrt(3) Sec theta + 2 = 0

    The general solution of tan(3theta)=1 is

    Find the principal solutions of the angles in the equations 2 cos^(2) theta = 1

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