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The set of all x in ((-pi)/( 2), (pi)/(2...

The set of all x in `((-pi)/( 2), (pi)/(2))` satisfying `|4 sin x - | lt sqrt(5)` is given by

A

`(-(pi)/10,(3pi)/10)`

B

`((pi)/10,(3pi)/10)`

C

`((pi)/10,-(3pi)/10)`

D

`((-3pi)/10,(-pi)/10)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

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

    A
    `(pi)/(12)`
    B
    `(5 pi)/(12)`
    C
    `(7 pi)/(12)`
    D
    `(11 pi)/(36)`

  • If x in ((pi)/(4),(pi)/(2)) " then " int sqrt(1 - sin 2x) dx =

    A
    sinx - cosx + C
    B
    sinx + cosx + C
    C
    `-`(sinx + cosx ) + C
    D
    cosx - sinx + C

  • The number of values of x in [0, 2 pi] satisfying the equation |cos x - sin x | ge sqrt(2) , is

    A
    0
    B
    1
    C
    2
    D
    3

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