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Find the values of x in (-pi,pi) which s...

Find the values of `x in (-pi,pi)` which satisfy the equation `8^(1+|cosx|+|cos^2x|+|cos^(2x|+))=4^3`

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Let Ssub(0,pi) denote the set of values of x satisfying the equation 8^1+|cos x|+cos^2x+|cos^(3x| tooo)=4^3 . Then, S= {pi//3} b. {pi//3,""2pi//3} c. {-pi//3,""2pi//3} d. {pi//3,""2pi//3}

The integral Value of x in(-pi,pi) satisfying the equation |x^(2)-1+cos x|=|x^(2)-1|+|cos x| can be

Knowledge Check

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

    A
    `pi/6`
    B
    `pi/3`
    C
    `pi/8`
    D
    `pi/12`

  • For 0 lt x lt pi the values of x which satisfy then relation 9^(1+|cos x|+ |cos^(2) x| + | cos^(3)x| +…) upto oo =3^(4) are given by

    A
    `(pi)/(3), (2pi)/(3)`
    B
    `(pi)/(3),(3pi)/(4)`
    C
    `(pi)/(4),(3pi)/(4)`
    D
    `(pi),(3),(pi)/(4)`

  • Let S sub (-pi, pi) denote the set of values of x satisfying the equation 8^(1 + |cos x | +cos^(2) x + |cos^(3) x|+..."to"oo) = 4^(3) then S =

    A
    `{(pi)/(3)}`
    B
    `(-(pi)/(3), - (2pi)/(3))`
    C
    `(-(pi)/(3), (2pi)/(3))`
    D
    `((pi)/(3), (2pi)/(3))`

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