Question

The graph of cosecant function does not lie in which of the following region:

• A. $y=-1\text{to}y=1$
• B. $x=-1\text{to}x=1$
• C. $y=1\text{to}y=\infty$
• D. $y=-\infty \text{to}y=-1$

Answer 1

The correct option is A $y=-1\text{to}y=1$

$cosecxϵ[-\infty ,-1]\cup [1,\infty ]$ and thus we can say that $cosecx$ does not lies for $-1<y<1$