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general solution of sec theta = (tan^(-1...

general solution of `sec theta = (tan^(-1) (1) +tan^(-1) (2) + tan^(-1) (3))/(tan^(-1) 1 +tan^(-1) (1/2)+ tan^(-1) (1/3))` is `theta`=

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Knowledge Check

  • tan^(-1)(1/2)+tan^(-1)(1/3)=tan^(-1)(theta) then theta is

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

  • theta = tan ^(-1)(2 tan ^(2) theta )- tan ^(-1) ((1)/(3) tan theta ) if -

    A
    `tan theta =-2`
    B
    ` tan theta =0`
    C
    ` tan theta=1`
    D
    `tan theta = 2`

  • theta = tan^(-1) (2 tan^(2) theta) - tan^(-1) ((1)/(3) tan theta) " then " tan theta=

    A
    `-2`
    B
    `-1`
    C
    `2//3`
    D
    2

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    Find, theta =tan^(-1) (2 tan^(2) theta) - tan^(-1) ((1)/(3) tan theta) " then " tan theta=

    If tan^(-1) 1/(1+2) + tan^(-1) 1/(1+(2)(3)) + tan^(-1)1/(1+(3)(4)) + …….tan^(-1) 1/(1+n(n+1)) = tan^(-1) theta , then theta = ……….

    The general solution of tan 2 theta tan theta = 1 is theta =

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