1. 2.5 Properties of the Trig Functions
Learning Objective: To find the exact values of the Trig functions using the unit circle, to know the domain and range of the trig functions, and to use the Periodic and Even-Odd Properties to find the Exact values of the Trig functions.
Warm-up (IN) – none!
NOTES
If t is a real # and P is any point on the unit circle...

2. Ex 1 – Find all 6 trig functions if P = is the point on the unit circle that corresponds to t.
If P is any point on circle and is on the terminal side of …

3. Ex 2 – Find all 6 trig functions if P =
Periodic Properties
periodic – means repeating
sin, cos, csc and sec are the same every
360º or 2π radians
tan and cot are the same every
180º or π radians

4. So…
k meaning any multiple of 2π
Ex 3 – Find the exact value:

5. D: R: given Domain and Range of 6 trig functions
Except odd multiples of
Except odd multiples of
Except odd multiples of
Except odd multiples of
Except odd multiples of
Except odd multiples of

6. Even-Odd Functions
Odd
Even
Odd
Ex 4 – Find the exact value:

7. Out – What does periodic mean?
Summary - Today was …
HW – pg. 172 #13-17,21-24,29-33,37-41, 47-51,55-57,61-64, 67-72
Don’t forget
about POW!!