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Question

The range of f(x)=cos[x], for π2<x<π2 is


A

{-1, 1, 0}

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B

{cos 1, cos 2, 1}

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C

{cos 1, - cos 1, 1}

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D

[-1, 1]

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Solution

The correct option is B

{cos 1, cos 2, 1}


{cos 1, cos 2, 1}
Since, f(x)=cos[x], where π2<x<π2, π2<x<π21.57<x<1.57[x]ϵ{1,0,1,2}. Thus, cos[x]={cos(1),cos 0,cos 1,cos 2}. Range of f(x)={cos 1, 1, cos 2}


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