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Question

Which of the following is the sketch of the graph y = sinx × cosecx.


A

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B

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C

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D

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Solution

The correct option is B


As we know that cosecx = 1sinx

so,sinx × cosecx=1

But domain of sinx & cosecx is NOT same.

cosecx is NOT define where sinx=0

when x = nπ,function y = sinx × cosecx is NOT defined.

For all the other values of x, sinx × cosecx=1

Graph of the function y = sinx × cosecx would be


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