1. Math 20-1 Chapter 2 Trigonometry 2.2B Trig Ratios of Any Angle (Solving for the Angle) Teacher Notes

2. Math 20-1 Chapter 1 Sequences and Series 2.2B Trig Ratios of Any Angle Quadrantal Angles and Solve for the Angle 2.2.1 The reference angles for angles in standard position 150 ° and 210 ° are equal. Does this imply that ? ref 30 ° II ref 30 ° III

3. Quadrantal Angles 0°0° 90 ° 180 ° 270 °, 360 ° P(0, 3) Q(-4, 0) 2.2.2

4. Solve for angle  given Angle in Standard Position Reference Angle 1 2  1 2  = 30 0 R = 30 0 Reference Angle  = 30 0  = 150 0 Angle in Standard Position 0 0 ≤  < 360 0  Determine the Measure of an Angle Given a Trig Ratio R I or II 2.2.3

5. Solve for angle  given Angle in Standard Position Reference Angle 3 5  3 5  = 37 0 R = 37 0 Reference Angle  = 37 0  = 143 0 Angle in Standard Position 0 0 ≤  < 360 0 nearest degree  Determine the Measure of an Angle Given a Trig Ratio R I or II 2.2.4

6. Solve for each angle  given a specific trig ratio.  =  45 0, 135 0  =  30 0  =  60 0  =  30 0, 150 0  =  135 0  =  120 0  =  150 0 RA = 45 0 RA = 60 0 RA = 45 0 RA = 30 0 RA = 60 0 0 0 ≤  < 360 0 RA = 60 0  =  120 0 Determine the Measure of the Angle Given the Exact Ratio 2.2.5 III IIV IIIII IIIII I III IV IIIII, 300 0, 225 0, 210 0, 300 0, 240 0

7. Determine the measure of angle A, to the nearest degree: 0 0 ≤ A < 360 0 sinA = 0.5632 cosA = -0.7542 tanA = -1.5643 cosA = 0.5986 sinA = -0.8667 tanA = 0.5965 R A Quadrants III III II IV I III IV IIII 34 0 41 0 57 0 53 0 60 0 31 0 34 0 146 0 139 0 221 0 123 0 303 0 53 0 307 0 240 0 300 0 31 0 211 0 Determine the Measure of the Angle Given the Approximate Ratio Enter a positive ratio in your calculator 2.2.6

8. Page 96: 7, 9a,d,e,f, 10, 12, 15, 29 22a 2.2.7