1. Day 49 Agenda:
DG minutes

2. Unit #6: Graphs and Inverses of Trig Functions
Accel Precalc
Unit #6: Graphs and Inverses of Trig Functions
Lesson 1: The Unit Circle
EQ: How is the unit circle used to evaluate the exact values for the six trig functions?

3. Recall:
Given a circle whose center is at the origin and radius is 1. Write the equation of this circle.
This circle is called the Unit Circle.

4. The Unit Circle has 48 missing parts
The Unit Circle has 48 missing parts. You are going to learn ALL OF THEM!!!

5. I. Angles on the Axes
(0, 1)
Place the degree measures of the angles on each axis.
90⁰
Place the radian measure of the angles on each axis.
(-1, 0)
180⁰ 0⁰
(1, 0)
360⁰
State the coordinates of the points at each angle.
270⁰
(0, -1)

6. Recall:
What is the relationship between the legs and the hypotenuse of a 45 - 45 - 90 triangle?
But on the Unit Circle the radius is the hypotenuse and it is 1. How can I make the hypotenuse of this right triangle equal 1?

7. Place the degree measures at each angle.
Reference Angle of 45
Place the degree measures at each angle.
135⁰
45⁰
Place the radian measure
at each axis.
State the coordinates of the points at each angle.
225⁰
315⁰

8. Recall:
What is the relationship between the legs and the hypotenuse of a 30- 60- 90 triangle?
Again, on the Unit Circle the radius is the hypotenuse and it is 1. How can I make the hypotenuse of this right triangle equal 1?

9. Place the degree measures at each angle.
Reference Angle of 30.
Place the degree measures at each angle.
30⁰
150⁰
Place the radian measure
at each axis.
330⁰
210⁰
State the coordinates of the points at each angle.

10. Place the degree measures at each angle.
II. Reference Angle of 60.
Place the degree measures at each angle.
120⁰
60⁰
Place the radian measure
at each axis.
State the coordinates of the points at each angle.
240⁰
300⁰

11. And that, ladies and gentlemen is your Unit Circle!!

12. Evaluate the 6 Trig Functions at the given θ.

13. °

17. ***QUIZ on Unit Circle***
Assignment:
Worksheet #1: Exact Values of Angles
***QUIZ on Unit Circle***

18. Today’s AGENDA: QUIZ 9( Unit Circle)--- 6 minutes, NO CALC
Finish Unit 6 Lesson 1
20 minute workday --- Review for Test Unit 5 or Work on WS’s #1 & 2
Begin Unit 6 Lesson 2
Unit 5 Review and key is on the blog.

19. SEPARATE DESKS FOR QUIZ
TIME FOR UNIT CIRCLE QUIZ IS 6 MINUTES.
NO CALCULATOR OF ANY KIND.

20. What is the sign of each function in the four quadrants?+ + - + - + - - - + + -
REMEMBER:
csc goes as sin goes, sec goes as cos goes, and cot goes as tan goes

21. In which quadrant would  occur?IV I

22. When in Rome, use ROMAN NUMERALS!II
III IV
III
III IV