1. Directions 1.Fold the top right corner to meet the bottom. 2.Write your name & “Trig Book”. 3.Staple the hypotenuse. 4.Punch hole in the left side. Dr. Jennifer L. Bell, ©2009, LaGrange High School, LaGrange, Georgia (MCC9‐12.G.SRT.6; MCC9‐12.G.SRT.8)

2. Term: Definition: Trigonometry A ratio of the lengths of the sides of a right triangle are called the trigonometric ratios.

3. Term: Definition: opposite hypotenuse Pronounced “sign” θ opposite 4 hypotenuse 5 Example: sin θ = 4545

4. Procedure: Find missing side length sin 15 ° = (13) x 13 15° 8 x (13) sin 15 ° = x 3.36 ≈ x 15° x 13 8x8x (x) (x) sin 15 ° = 8 sin 15 ° sin 15 ° 30.91 ≈ x sin 15 ° =

5. Term: Definition: adjacent hypotenuse Pronounced “co-sign” θ adjacent 3 hypotenuse 5 Example: cos θ = 3535

6. Term: Definition: opposite adjacent θ adjacent 3 opposite 4 Example: tan θ = 4343

7. Procedure: Find missing angle measure cos x ° = 6 10 x°x° 6 cos -1 (6/10) = x 53.13 ° ≈ x 2ndcos

8. Term: Definition: complementary angle ratios sin θ = cos (90 - θ ) cos θ = sin (90 - θ ) Example: sin 20 ° = = cos 70 ° x5x5 20 ° x 5 70 °

9. Term: Definition: angle of elevation angle made between the ground (horizontal) and the line of sight when looking up at the object θ 15 20 angle of elevation = angle of depression line of sight

10. Term: Definition: angle of depression angle made between the horizontal (parallel to the ground) and the line of sight when looking down at the object. 15 20 θ line of sight

11. Definition: Term:

13. Definition: Term:

14. Definition: Term:

15. Definition: Procedure: Example:

16. Definition: Term: Example:

17. Term:

19. Definition: Term: Example:

20. Definition: Procedure: Example: