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The number of values of x in the interva...

The number of values of x in the interval `[0, 5pi]` satisfying the equation `3 sin^(2)x - 7 sin x + 2 = 0` is

Text Solution

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The correct Answer is:
6

The number of values …………….

`3sin^(2)x-7sin x +2 =0`
`3sin^(2)x - 6 sin x - sin x+2 = 0`
`(3sin x-1) (sin - 2) = 0`
`sin x = (1)/(3) or sin x = 2` not possible
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Find the number of values of x in the internal [ 0, 5 pi] satisfying the equation 3 sin^(2) x - 7 sin x + 2 = 0

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Knowledge Check

  • The number of values of x in the interval [0,5pi] satisfying the equation. 3sin^(2)x -7sinx + 2=0 is-

    A
    0
    B
    5
    C
    6
    D
    10
  • The number of values of x in the interval [0, 3pi] satisfying the equation 3sin^(2)x-7sinx+2=0 is

    A
    0
    B
    5
    C
    4
    D
    10
  • The number of values of x in the interval [0,5pi] satisfying the equation 3sin^2 x -7 sin x + 2 = 0 is

    A
    0
    B
    4
    C
    6
    D
    10
  • Similar Questions

    Explore conceptually related problems

    Number of values of x in the interval [0, 3pi] satisfying the equation 2 sin^(2)x + 5 sin x - 3 = 0 is

    The number of values of x in the interval [0,5pi] satisfying the equation 3sin^2x-7sinx+2=0 is

    The number of value(s) of x in the interval [0,5pi] satisfying the inequation 3sin^(2)x - 7 sinx +2 lt 0 such that sinx is an integer is

    The number of values of x in the interval [0,3pi] satisfying the equation 2 sin^2 x + 6 sin x - 3 = 0 is :

    The number of values of x in the interval [0,3 pi] satisfying the equation 2sin^2 x+5 sin x-3 =0 is