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The complete set of values of x satisfyi...

The complete set of values of x satisfying the inequality `sin^(-1)(sin 5) gt x^(2)-4x` is `(2-sqrt(lambda-2pi), 2+sqrt(lambda-2pi))`, then `lambda=`

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Knowledge Check

  • The complete set of values of x, x in (-(pi)/(2), pi) satisfying the inequality cos 2x gt |sin x| is :

    A
    ` (- (pi)/(6), (pi)/(6))`
    B
    `(-(pi)/(2), (pi)/(6)) cup ((pi)/(6), (5 pi)/(6)) `
    C
    `(-(pi)/(2), -(pi)/(6)) cup ((5 pi)/(6), pi ) `
    D
    `(-(pi)/(6),(pi)/(6)) cup ((5 pi)/(6), pi ) `

  • The set of values of x in (-pi, pi) satisfying the inequation |4"sin" x-1| lt sqrt(5) , is

    A
    `(-pi//10, 3pi//10)`
    B
    `(-pi//10, pi)`
    C
    `(-pi, pi)`
    D
    `(-pi, 3pi//10)`

  • Set of values of x lying in [0, 2pi] satisfying the inequality |sin x | gt 2 sin^(2) x contains

    A
    `(0, pi/6) uu (pi, (7pi)/(6))`
    B
    `(0, (7pi)/(6))`
    C
    `pi/6`
    D
    None of these

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    The value of x in (0,(pi)/(2)) satisfying the equation,(sqrt(3)-1)/(sin x)+(sqrt(3)+1)/(cos x)=4sqrt(2) is

    The number of integral values of X in the interval [0,pi] satisfying the inequality 2sin^(2)2x-3sin2x+1<0

    The number of values of x in [0, 4 pi] satisfying the inequation |sqrt(3)"cos" x - "sin"x|ge2 , is

    The solution set of x in(-pi,pi) for the inequality sin 2x+1 le cosx+2sin x is

    The set of all x in (-pi,pi) satisfying |4 sin x-1| lt sqrt(5) is given by

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