1. MATHPOWER TM 12, WESTERN EDITION 5.2 5.2.1 Chapter 5 Trigonometric Equations

2. Solving Trigonometric Equations Quadrant I Quadrant II Quadrant IIIQuadrant IV Cosine All Sine Tangent       CAST Rule Find the measure of  0 ≤  < 360 0 a) cos  = -0.6691     The reference angle is 48 0. The angle  is found in Quadrants II and III.  132 0 and 228 0 b) tan  = 1.2435 The reference angle is 51 0. The angle  is found in Quadrants I and III.  51 0 and 231 0 5.2.2

3. Exact Values of Special Angles 5.2.3

4. State the exact value of each ratio: a) b) c) d) e) f) g)h) i) Finding Exact Values 5.2.4 = undefined

5. Evaluate. a) b) Finding Exact Values 5.2.5

6. Related Angles Quadrants I II III IV 150 0 135 0 120 0 210 0 225 0 240 0 330 0 315 0 300 0 5.2.6

7. 5.2.7 Solving Trigonometric Equations a)b)c) Solve for  if 0 ≤  < 2 . General Solutions Reference Angle Reference Angle Reference Angle General Solutions

8. 5.2.8 e) f) d) Solving Trigonometric Equations Solve for  if 0 ≤  < 2 . Reference Angle Reference Angle Reference Angle General Solutions

9. g) Solving Trigonometric Equations h) 5.2.9 Solve for  if 0 ≤  < 2 . Reference Angle Reference Angle

10. Solving Trigonometric Equations Solve for  if 0 ≤  < 2 . a)b) 5.2.10

11. c) d) e) NO solution for cos  = 3. 5.2.11 Reference Angle Reference Angle Solving Trigonometric Equations

12. f) Reference Angle: Therefore: g) The equation cannot be factored. Therefore, use the quadratic equation to find the roots: Reference Angles: 5.2.12 Solving Trigonometric Equations

13. 5.2.13 Using a Graphing Calculator to Solve Trigonometric Equations Therefore,  and 

14. Suggested Questions: Pages 252 and 253 1, 4, 6, 10, 15, 22, 24, 27, 32, 33 b, 34 a (graph) 35 b 5.2.14