Graphing: Secant and Cosecant Section 4.5

csc (x) Flip of sin (x) Properties Period: 2 Domain: all real numbers except n Range: (-∞, -1] [1, ∞) No x-int No y-int y=1 when y=-1 when

Graph of csc(x)

Graph

Graph

sec (x) Flip of cos (x) Properties Period: 2 Domain: all real numbers except n, n is odd Range: (-∞, -1] [1, ∞) No x-int y-int = 1 Asymptotes when , n is odd y=1 when , n is even y=-1 when , n is odd

Graph of sec (x)

Graph

One last problem… Write an equation for a secant function with period , phase shift vertical shift -3.

Homework 4.5 Worksheet (csc and sec)