1. Warm – up: Find the missing measures. Write all answers in radical form. 45° x w 7 60° 30° 10 y z

2. The Trigonometric Functions we will be looking at SINE COSINE TANGENT

3. The Trigonometric Functions SINE COSINE TANGENT

4. SINE Pronounced “sign”

5. Pronounced “co-sign” COSINE

6. Pronounced “tan-gent” TANGENT

7. Pronounced “theta” Greek Letter  Represents an unknown angle

8. opposite hypotenuse adjacent hypotenuse opposite adjacent

9. We need a way to remember all of these ratios…

10. Some Old Hag Came Around Here Taking Our Apples

11. Finding sin, cos, and tan

12. 6 8 10 SOHCAHTOA

13. Find the sine, the cosine, and the tangent of angle A. Give a fraction and decimal answer (round to 4 places). 9 6 10.8 A

14. Find the values of the three trigonometric functions of . 4 3 ? Pythagorean Theorem: (3)² + (4)² = c² 5 = c 5

15. Find the sine, the cosine, and the tangent of angle A A 24.5 23.1 8.2 B Give a fraction and decimal answer (round to 4 decimal places).

16. Finding a side

17. A surveyor is standing 50 feet from the base of a large tree. The surveyor measures the angle of elevation to the top of the tree as 71.5°. How tall is the tree? 50 71.5° ? tan 71.5° y = 50 (tan 71.5°) y = 50 (2.98868) Ex.

18. A person is 200 yards from a river. Rather than walk directly to the river, the person walks along a straight path to the river’s edge at a 60° angle. How far must the person walk to reach the river’s edge? 200 x Ex. 5 60° cos 60° x (cos 60°) = 200 x X = 400 yards