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The number of real roots of the equation...

The number of real roots of the equation `cosec theta + sec theta-sqrt(15)=0` lying in `[0, pi]` is

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The number of real roots of the equation csc theta+sec theta-sqrt(15)=0ling in [0,pi] is.6 (b) 8 (c) 4 (d) 0

sec theta=cosec theta

Knowledge Check

  • The number of roots of the quadratic equation 8 sec^(2) theta-6 sec theta+1=0 is

    A
    infinite
    B
    1
    C
    2
    D
    0

  • The solution of the equation sec theta -cosec theta =(4)/(3) is

    A
    `(1)/(2) [n pi +(-1)^(n) sin^(-1) ""(3)/(4)]`
    B
    `(n pi)/(2) +(-1)^(n) sin^(-1) ""(3)/(4)`
    C
    `n pi +(-1)^(n) sin^(-1) ""(3)/(4)`
    D
    None of these

  • The number of solution of the equation 5 sec theta -13=12 tan theta in [0,2pi] is

    A
    2
    B
    1
    C
    4
    D
    0

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    The number of distinct real roots of the equation |[cosec theta,sec theta,sec theta],[sec theta,cosec theta,sec theta],[sec theta,sec theta,cosec theta]|=0 in the interval [-(pi)/(4),(pi)/(4)]

    Find the number of roots of the equation 16sec^(3)theta-12tan^(2)theta-4sec theta=9 in interval (-pi,pi)

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    Number of solution of the equation tan theta+sec theta=2cos theta in[0,2 pi] is

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