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cosec^(-1)(cos x) is real if...

`cosec^(-1)(cos x)` is real if

A

`xepsilon[-1,1]`

B

`xepsilonR`

C

`x` is an odd multiple of `(pi)/2`

D

`x` is a multiple of `pi`

Text Solution

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The correct Answer is:
D
NA
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  • If cosec^(-1) ( cosec x) " and " cosec ( cosec^(-1) x) are equal functions, then the maximum range of value of x is

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    `[- pi/2 , -1] cup[1, pi/2]`
    B
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  • If cosec^(-1) (cosec x) and cosec (cosec^(-1) x) are equal function then the maximum range of value of x is

    A
    `[-(pi)/(2), -1] uu [1, (pi)/(2)]`
    B
    `[-(pi)/(2), 0)uu[0, (pi)/(2)]`
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    `(-oo, -1] uu [1, oo)`
    D
    `[-1, 0) uu [0, 1)`

  • int(x^(2)+cos^(2)x)/(x^(2)+1)."cosec"^(2)xdx is equal to

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