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Question

Range of f(x)=tan(π[x2x])1+sin(cosx) is where [x] denotes the greatest integer function

A

(,)[0,tan1]

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B

(,)[tan2,0)

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C

[tan2,tan1]

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D

{0}

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Solution

The correct option is D

{0}


f(x)=tan(π[x2x])1+sin(cosx)={0}because of [x2x] is integer.


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