2. Graphing: Secant and Cosecant
Section 4.5

3. 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

4. Graph of csc(x)

5. Graph

6. Graph

7. 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

8. Graph of sec (x)

9. Graph

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

11. Homework
4.5 Worksheet (csc and sec)