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Prove that the general solution of costh...

Prove that the general solution of `costheta=cosalpha`is given by `theta=2npipmalpha`; where `n inZ`

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Prove that the general solution of cos theta=cos alpha is given by :theta=2n pi+-alpha where n in Z.

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Knowledge Check

  • General solution of : costheta=1/2

    A
    `theta=2npipm(pi)/(3) AA n in ZZ`
    B
    `theta=2npipm(pi)/(6)AA n in ZZ`
    C
    `theta=2npipm(pi)/(4)AA n in ZZ`
    D
    none of these

  • General solution of tan5theta=cot2theta is

    A
    `(npi)/(7)+(pi)/(2), ninZ`
    B
    `(npi)/(7)+(pi)/(14), ninZ`
    C
    `(npi)/(7)+(pi)/(7), ninZ`
    D
    `(npi)/(5)+(pi)/(10), ninZ`

  • General solution of sinx+cosx=sqrt(2)cosalpha is

    A
    `2npipmalpha+(pi)/(3), ninZ`
    B
    `2npipmalpha-(pi)/(4), ninZ`
    C
    `2npipmalpha+(pi)/(6), ninZ`
    D
    `2npipmalpha+(pi)/(4), ninZ`

    • Similar Questions

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    Prove that the general solution of tan theta=tan alpha is given by : theta=n pi+alpha,n in Z

    Prove that general solution of sin theta=sin alpha is given by theta=n pi+(-1)^(n)alpha;where!=psi lon Z

    Prove that general solution of tan theta=tan alpha is given by theta=n pi+alpha;!=psi lon Z

    General solution of tan5 theta=cot2 theta is

    Find the general solution of cos theta =(1)/(2) .

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