. . The graph of the secant function The graph of secant function in £ £ p , x ≠ π , is shown in Fig. .
. In the first and fourth quadrants or in the interval − < < , y = sec takes only positive values, whereas it takes only negative values in the second and third quadrants or in the interval π < < For £ £ p , x ¹ p , the secant function is continuous. The value of secant function raises from to ¥ for x ∈ , π ; it raises from −∞ to - for x ∈ π π , . It falls from - to −∞ for x ∈ , and falls from ¥ to for x ∈ As y = sec is periodic with period p , the same segment of the graph for π , x ≠ π , is repeated in \