1. Lesson 1-6: Trigonometric Functions
AP Calculus
Mrs. Mongold

2. Graphs of Trig Functions
y=cosx
Domain:
Range:
Period:

3. y=sinx
Domain:
Range:
Period:

4. y=tanx
Domain:
Range:
Period:

5. y=secx
Domain:
Range:
Period:

6. y=cscx
Domain:
Range:
Period:

7. y=cotx
Domain:
Range:
Period:

8. Periodic Function
A function f(x) is periodic if there is a positive number P such that f(x+p) = f(x) for every value of x, the smallest such value of p is the period of f.

9. Even & Odd Trig. Functions
Cosx and secx are even functions, the other four are odd

10. Transformations y=a f(b(x+c)) + d
a= vertical stretch or shrink; reflection about x-axis
b= horizontal stretch of shrink; reflection about y-axis
c= horizontal shift
d= vertical shift

11. Sinusoid

12. Homework