Which of the following is the sketch of the graph $y = s i n x \times c o s e c x$ .

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Solution

The correct option is B

As we know that $c o s e c x = \frac{1}{s i n x}$

so, $s i n x \times c o s e c x = 1$

But domain of $s i n x & c o s e c x$ is NOT same.

cosecx is NOT define where sinx=0

when $x = n π$ ,function $y = s i n x \times c o s e c x$ is NOT defined.

For all the other values of x, $s i n x \times c o s e c x = 1$

Graph of the function $y = s i n x \times c o s e c x$ would be

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