1. Geometry Trigonometry

2. Learning Outcomes I will be able to set up all trigonometric ratios for a right triangle. I will be able to set up all trigonometric ratios for a right triangle

3. Reminder: Unit Circle

4. WRITE THIS DOWN! SOH CAH TOA

5. Vocabulary θ – greek letter theta – this symbol is used to represent angle measures. Sine – is the ratio of the length of the side opposite the angle and the hypotenuse. Cosine - is the ratio of the length of the side adjacent to the angle and the hypotenuse. Tangent – is the ratio of the length of the side opposite the angle and the side adjacent to the angle.

6. What do we know? The triangles are similar. The angles are congruent. 3 5 6 10

7. What do we know? The triangles are similar. The angles are congruent. 5 12 10 24

8. What do we know? The triangles are similar. The angles are congruent. 24 25 50 48

9. Why is this important? What happens if I know one angle measure for one of these triangles? (Other than the 90 ° angle?) I can find all the others in that triangle and for any similar triangle. 3 5 6 10

10. Trigonometric Functions This is why we created sine, cosine and tangent. Before we can use Sine, Cosine and Tangent we have to understand how to label our triangles. θ Opposite Hypotenuse Adjacent

11. Try these on your own Correctly label the sides θ Opposite Hypotenuse Adjacent θ Opposite Hypotenuse Adjacent

12. Activity You have a card and must find your partner. 20 21 29 θ 20 21 29 θ 20 21 29 O A H 20 21 29 O A H

13. Remember This?

14. What do we know? Just by looking at this triangle what do we know about it? 2 4 A B C

15. Using Trigonometry 2 4 A B C

16. 24 48 A B C

17. Take out your calculators 2 4 A B C 60 ° 30 °

18. Try this on your own

20. Exit Ticket Homework Find the sine, cosine and tangent of B. Give the exact and approximate answer. Pg. 562: 10-27