1. TRIGONOMETRIC RATIOS AND THE UNIT CIRCLE Mrs. White Precalculus 5.2/5.4

2. Schedule Class/WeekTopicClass WorkHomework Mon 2/3The Unit Circle 5.2 Complete the Unit Circle Template Pg 361 # 3 -30 Multiples of 3 Tues 2/4Exact Values of the Trig Ratios Examples/NotesPg. 383 # 3, 14, 18, 22, 34, 39, 43, 54 Wed 2/5Exact Values of the Trig Ratios Review and Practice Worksheet 5.2 (No calculator) Study for Quiz 5.2 Thurs 2/6Exact Values of the Trig Ratios Quiz (No Calculator) Watch Video on Graphs of Sine/Cosine Fri 2/7

3. Trig Ratios and the Unit Circle  Goals  Students should be able to calculate the exact value of the 6 trigonometric ratios.

4. Review – Complete the Table Θ (degrees) 0o0o 30 o 45 o 60 o 90 o Θ (radians) 0 π /6 π /4 π /3 π /2 sin Θ 01 cos Θ 10 tan Θ 01Undefined csc Θ Undefined1 sec Θ 1Undefined cot Θ Undefined0

5. Example 1  Plot P (-12, -5) in the coordinate plane. If the terminal side of an angle in standard position passes through P, find the 6 trig. Ratios.

6. Example 2  Plot P (5, -2) in the coordinate plane. If the terminal side of an angle in standard position passes through P, find the 6 trig. Ratios.

7. Example 3  Given the following, find the 6 trigonometric ratios:  sec Θ = -2  sin Θ > 0

8. Example 4  Find the reference angle, α.  Given:  Θ = 309 o  α = 360 o - 309 o  α = 51 o  Find the reference angle, α.  Given:  Θ =  α =

9. Example 5  Evaluate the 6 trig functions of the following angles. No Calculator.  Θ = 510 °  This is coterminal with: 150 °  Reference angle: 30 °, Quadrant 2

10. Example 6  Evaluate the 6 trig functions of the following angles. No Calculator.  Θ =  This is coterminal with:  Reference angle:, Quadrant 3

11. Example 7  Sketch a right triangle corresponding to the trig function of the acute angle, Θ. Find the length of the missing side (using Pythagorean Th). Evaluate the remaining 5 trig. functions at Θ.  Given: Θ