Question 1203791
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From the given plot, one can see that vertices are at  y= 2.


The period is {{{2pi}}}.


Vertical asymptotes are at x= {{{k*pi}}},  k = 0, +/-1, +/-2, ...


Hence, given function is  y = {{{2/sin(x)}}} = 2*csc(x),  in cosecant form, as requested.
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Solved.


It is as clear as at the day light and is as simple as 2 x 2 = 4.