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Range of f(x)=(1)/(1-2 cos x) is :...

Range of `f(x)=(1)/(1-2 cos x) is :`

A

`[(1)/(3), 1]`

B

`[-1,(1)/(3)]`

C

`(-oo, -1] uu [(1)/(3), oo)`

D

`[-(1)/(3),1]`

Text Solution

Verified by Experts

The correct Answer is:
C
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Range of f(x)=(1)/(1-2cos x) is

Range of f(x)=(1)/(1-2cos x) is (1)[(1)/(3),1] (2) [-1,(1)/(3)](3)(-oo,-1]uu[(1)/(3),oo)(4)[-(1)/(3),1]

Knowledge Check

  • Range of f(x)= 1/(1-2cos x) is

    A
    `[1/3,1]`
    B
    `[-1,1/3]`
    C
    `(-infty,-1) cup [1/3,infty]`
    D
    `[-1/3, 1]`

  • Range [परिसर] of f(x) = (1)/(2x-1) is

    A
    `(-oo, oo)`
    B
    `(-oo, 0]`
    C
    `[0, oo)`
    D
    `R - {0}`

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