4.6.1 Graph of the cosecant function

. . Graph of the cosecant function In the interval , π ) , the cosecant function is continuous everywhere except at the point x = π . It has neither maximum nor minimum. Roughly speaking, the value of y = cosec falls from ¥ to for x ∈  , π , it raises from to ¥ for x ∈  π π , . Again, it raises from −∞ to - for x ∈  , and falls from - to −∞ for x ∈  The graph of y = cosec , x ∈ { } ( , ) \ π π is shown in the Fig. . . This portion of the graph is repeated for the intervals  , \ { } π , { } \ , \ ) { } \ ) { }  The entire graph of y = cosec is shown in Fig. . . Fig. . Fig. . π − − − − y = y = − O = cosec in , π π π π − π − π − π − − − − O = cosec y = y = − Inverse - - Inverse Trigonometric Functions