1. October 29, 2012 The Unit Circle is our Friend! Warm-up: Without looking at your Unit Circle! Determine: 1) The quadrant the angle is in; 2) The reference angle; and 3) The sign of the sine and cosine. 1. 300° 2. -135°3. 2π/3 4. π/6 HW 4.4: Pg. 319 #30-36, 44-56, 82-86 all EVENS Quiz last class on unit circle, trig functions, and reference angles

2. Memorizing the unit circle! http://www.purposegames.com/game/unit- circle-quiz

3. Ms. PD! Don’t forget to show E block how to use the reference angle! It makes the unit circle easier!

4. Lesson 4.4 Use the reference angle to help you find all the points around the unit circle. A reference angle is the acute angle formed by the terminal side of θ and the x-axis. For example, the reference angle of is. 225°45°

5. Using the reference angle and quadrant to help find the sine and cosine All you need to remember is the first quadrant and the reference angle. Don’t forget about 0 and π/2!

6. UNITCIRCLEUNITCIRCLE AllStudents TakeCalc

7. Without referring to your notes, find the following: (think of the reference angle and quadrant!) 1.sin (π/6)2. cos (3π/4) 3. sin (5π/3)4. cos (7π/6) 5.cos (3π/2) 6. sin (π) 7. sin (-2π/3)8. cos (-5π/4)

8. Let’s go the other way around… Find the two angles, θ, that has the following trig function value. 1. sin θ = 1/22. cos θ = √3/2 3.cos θ = -1/24. cos θ = 1 5. sin θ = √2/26. sin θ = -√2/2 7. cos θ = -√3/28. sin θ = -1

9. Fundamental Trig Identities Reciprocal Identities Quotient Identities Pythagorean Identities sin 2 θ + cos 2 θ = 1 1+ tan 2 θ = sec 2 θ 1+ cot 2 θ = csc 2 θ

10. What about the other trig functions? Find the value for each trig function: 1. sec (π/4) 2. csc (3π/2) 3.tan (4π/3) 4.cot (7π/6) Find θ (2 angles) for the following trig functions: 5.sec θ = 2 6.cot θ = 1 7.tan θ = √3 8.

11. I have… Who has??? Which class is the fastest B or E? Extra Halloween candy given to the winner on Wednesday!