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Question

The value of limxπ2sincosxcosxsinx-cscx is


A

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B

1

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C

0

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D

-1

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Solution

The correct option is D

-1


Explanation of the correct option.

Compute the required value.

Given :limxπ2sincosxcosxsinx-cscx

limxπ2sincosxcosx×limxπ2cos2xsinx-1sinx1×limxπ2cos2xsinxsin2x-1limxπ2cos2xsinx-cos2xlimxπ2-sinx-1

Therefore, the value of limxπ2sincosxcosxsinx-cscx is -1.

Hence,option D is the correct option.


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