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Question

If f(x)=tan1(cosxsinxcosx+sinx),then f(0)=


A

1

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2

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C

-1

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D

-2

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Solution

The correct option is C

-1


f(x)=tan1(cosxsinxcosx+sinx)=tan1(tan(π4x))=π4xf(x)=1f(0)=1


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