1. LADIES AND GENTLEMEN,
IT IS NOW THE TIME YOU
HAVE BEEN
WAITING FOR:
TRIGONOMETRY

2. Accel Precalc Unit #5: Introduction to Trigonometry Lesson 1: Sketching Angles 
EQ: How do you sketch an angle in standard position whose measure is in degrees, pi radians, or decimal degrees?

3. Identify all key parts of the rectangular coordinate plane.
RECALL:
Identify all key parts of the rectangular coordinate plane.
y-axis
Quad II
Quad I
x-axis
origin
Quad III
Quad IV

4. New Terms:
Variables we will use for naming angles in Trig:
alpha
beta
gamma
theta

5. Angle Measures on the Axes:
Degree Measure
 Radian Measure

6. Decimal Radian Measure:

7. Angles Drawn in Standard Position
--- initial ray is on x axis; terminal ray may be drawn in a quadrant or on an axis; measure is made from initial ray to terminal ray

8. Positive Angles Drawn in Standard Position
--- counter-clockwise direction from x axis; use an arrow to show direction and number of rotations (if necessary).

9. Negative Angles Drawn In Standard Position
--- clockwise direction from x axis; use an arrow to show direction and number of rotation (if necessary).

10. Full Rotation vs  54° 320° one rotation = 360˚  = 180˚
What is one rotation through the coordinate plane?
one rotation = 360˚  = 180˚
54°
320°
How to Sketch Angles:

11. -225°
-120°

12. Sketch these angles in standard position.

13. Day 36 Agenda:
Quiz # minutes

14. Reference Angles
positive acute angles; measured from the x axis

15. OMIT THIS IN YOUR NOTES

16. State the reference angle for Ex #1 – 5.
25˚
65˚
0.28

17. Coterminal Angles
--- have same terminal ray, but different angle measure; infinitely many
coterminal angles to one angle.

18. -42˚+360˚= 318˚ 37˚+360˚= 397˚ -42˚- 360˚= -402˚ 37˚- 360˚= -323˚
Find a positive and negative coterminal angle for each.
-42˚+360˚= 318˚
37˚+360˚= 397˚
-42˚- 360˚= -402˚
37˚- 360˚= -323˚

19. RECALL:
Complementary Angles
--- sum of two angles is 90˚
Supplementary Angles
--- sum of two angles is 180˚

20. DOES NOT EXIST

21. NEITHER
EXISTS

22. Assignment:
textbook p #5 – 21 odd,
27 – 41 odd