.
From the given plot, one can see that vertices are at  y= 2.
The period is  .
Vertical asymptotes are at x=
.
Vertical asymptotes are at x=  ,  k = 0, +/-1, +/-2, ...
Hence, given function is  y =
,  k = 0, +/-1, +/-2, ...
Hence, given function is  y =  = 2*csc(x),  in cosecant form, as requested.
 = 2*csc(x),  in cosecant form, as requested.
Solved.
It is as clear as at the day light and is as simple as 2 x 2 = 4.