Answer:
y = csc(3x)
Explanation:
You want an equation for a cosecant curve with vertical asymptotes at multiples of π/3.
Horizontal compression
The vertical asymptotes of the parent cosecant function are at multiples of π. Putting them at multiples of π/3 means compressing the graph horizontally by a factor of 3.
That compression means x will be replaced by 3x in the equation. You want ...
y = csc(3x)