1. 4.4 Trigonometric Functions of Any Angle

2. Let be an angle in Standard position and (x,y) on the terminal side
Let r ≠ 0

3. Let (-5,12) be a point on the terminal side of
Find the Sin, Cos and Tan

4. Reference Angles
What is the value of Sin 30º and Sin 150º ?

5. Reference Angles What is the value of Sin 30º and Sin 150º ?
Why not just use Sin 30º
Good news you can,
30º is the reference angle for 150º
But Cos 30º ≠ Cos 150º;
How are they related?

6. Reference Angles How to find a Reference Angle.
All reference angles are
During a Code Blue you need to get into the closest classroom; the reference angle is the closest angle to 180º or 360º.

7. Reference Angles Finding the reference angle
What is the reference angle of 110º ?
What is the reference angle of 284º ?
What about 72º ?

8. Reference Angles Finding the reference angle
What is the reference angle of ?
What about 1.8 radians ?

9. What is the exact value of Sin
What is the reference angle of

10. What is the exact value of Sin
What is the reference angle of
What is

11. What is the exact value of Sin
What is the reference angle of
What is
What Quadrant is in ?

12. What is the exact value of Sin
What is the reference angle of
What is
What Quadrant is in ? So

13. Find Sec
What is the coterminal angle with ?
What quadrant is in?

14. Find Sec
So the we need to find

15. Using Trigonometric Identities
Given: Find

16. Using Trigonometric Identities
Given: Find

17. Homework
Page 297 – 299
# 3, 9, 16, 22,
28, 34, 40 ,46,
52, 58, 64, 74,
82, 90, 96

18. Homework
Page 297 – 299
# 6, 13, 19, 25,
31, 37, 43, 49,
55, 61, 70, 78,
86, 94, 97