1. Opener

2. Unit Essential Question
How do you use right triangle trigonometry to solve problems?
Unit Essential Question

3. Tangent Ratio Essential Question:
How do you set up the relationships between sine, cosine and tangent of a triangle?
Tangent Ratio

4. Family of Right Triangles
For every pair of Complementary Angles, A & B, there is a family of Similar Right Triangles! A A A A B B B B

5. Tangent Ratio
For the whole Family – Large or Small…

6. Tangent Ratio Explained
previous slide,

7. Example
Write the Tangent ratios for ∠T & ∠U.

8. Real-World Example

9. Practice

10. Tangent Inverse What are inverses in Mathematics? What do they do? If:
Then Tangent Inverse:

11. Using Tangent Inverse:
Find m∠X
Find m∠Y

12. The angle of a slope.
Examples:

13. opener
Find x:

14. Sine & Cosine Ratios Essential Question:
How do you set up the relationships between sine, cosine and tangent of a triangle?
Sine & Cosine Ratios

15. Sine & cosine
Soh Cah Toa

16. Writing sine & cosine ratios:

17. Finding Missing Sides

18. Inverse Trigonometry
Finding Sides
Finding Angles

19. Finding a missing angle

20. Opener

21. Angles of Elevation & Depression
Essential Question:
How can trigonometry be used to solve word problems involving angles of elevation and depression?
Angles of Elevation & Depression

22. Angles of Elevation & Depression

23. Describing ANgles
∠1:
∠2:
∠3:
∠4:

24. Delicate Arch, Utah

25. Rock Climber

26. Fountain Hills, Az