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General solution of tantheta+tan4theta+t...

General solution of `tantheta+tan4theta+tan7theta=tanthetatan4thetatan7theta` is `theta=(npi)/(12),w h e rn in Z` `theta=(npi)/9,w h e rn in Z` `theta=npi+pi/(12),w h e rn in Z` `non eoft h e s e`

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Knowledge Check

  • General solution of the equation tan theta + tan 4 theta + tan 7 theta = tan theta cdot tan 4 theta cdot tan 7 theta "is" theta =

    A
    `npi//4`
    B
    `npi//12`
    C
    `npi//6`
    D
    none of these

  • A general solution of tan^(2) theta+ cos 2 theta=1 is (n in Z)

    A
    `n pi-pi/4`
    B
    `2npi+pi/4`
    C
    `npi+pi/4`
    D
    `n pi`

  • Let f(theta)=(cot theta)/(1-tan theta)+(tantheta)/(1-cot theta), pi lt theta lt (3pi)/(4) , then f((9pi)/(8)) is equal to :

    A
    `1+sqrt(2)`
    B
    `1+2sqrt(2)`
    C
    `sqrt(2)-1`
    D
    `2sqrt(2)-1`

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