Answer:

Option C.
Step-by-step explanation:
<u>Asymptotes Of A Rational Function</u>
We can easily recognize if x=a is a vertical asymptote of a given function f(x) because its graph tends to quickly increase or decrease getting closer to the vertical line x=a but never actually touching it.
We can see in the graph provided, there are two vertical lines, one at x=0 and the other at x=3 (assuming the x-scale is 2). It means the denominator tends to zero at both of those values, i.e. there must be factors like (x-0)(x-3)=x(x-3). The only option with these characteristics is the last one

As you know
csc x = 1/sin x
sec x =1/cos x
so, (1/sin x) / (1/cos) = 1/sin x * cos x =
cos x / sin x = cot x
It’s D! How do y’all not know that
The correct answers are A C and B