1. Section 2.2 – Basic Trigonometric Values

2. (0, 1)
(1,0)
(-1, 0)
(0, -1)

3. Summary of Denominators of 2

4. 30 60 1 2 60 30 1 2 45 1

5. 30 60 1 60 30 1 45 1

7. Summary of Denominators of 2

9. Summary of Denominators of 3

11. Denominators of 3
Denominators of 6
Denominators of 4

13. ALMOST 1
(-, +)
NUMERATOR 1
(+, +)
JUST PAST 1
(-, -)
ALMOST 2
(+, -)

14. Denominators of 3
Denominators of 6
Denominators of 4

15. Numerator 1 (+, +)
Almost 2 (+, -) 2 1
Almost 1 (-, +)
Past 1 (-, -)

16. + + + _ _

18. Let’s try a few more examples…..
Num 1 (+, +)
3 = 1 + 2
Past 1 (-, -)
4 = 2 x 2
Almost 2 (+, -)
6 = 3 x 2
Almost 1 (-, +)
3 = 1 + 2
Make Negative
Make Negative
Past 1 (-, -)
3 = 1 + 2
Make Negative

19. Redefine the wrapping function values
Instead of
we will now think of the wrapping function as

20. WE KNOW
THEREFORE

22. Now it’s your turn.
To find each trig value:
Find the wrapping function value
Choose the appropriate coordinate

23. We can’t forget the negatives either……here we go:
So when dealing with negative ‘arclengths’
The value of the cosine (cos) remains unchanged
The value of the sine (sin) will change
Now try these three……

25. First a little arithmetic review:

26. We define
and

27. We define
and