1. Designed by: Emily Freeman McEachern High School 2400 New Macland Rd Powder Springs, GA 30127

2. Warm – up: Find the missing measures. Write all answers in radical form. 45° x w 7 60° 30° 10 y z Session 17

3. The Trigonometric Functions we will be looking at SINE COSINE TANGENT 13.4 & 13.5

4. The Trigonometric Functions SINE COSINE TANGENT

5. SINE Prounounced “sign”

6. Prounounced “co-sign” COSINE

7. Prounounced “tan-gent” TANGENT

8. Prounounced “theta” Greek Letter  Represents an unknown angle

9. opposite hypotenuse adjacent hypotenuse opposite adjacent

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

11. Old Hippie Some Old Hippie Came A Hoppin’ Through Our Apartment

12. SOHCAHTOA Old Hippie Sin Opp Hyp Cos Adj Hyp Tan Opp Adj

13. Finding sin, cos, and tan

14. 6 8 10 SOHCAHTOA

15. 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

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

17. 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).

19. Finding a side

20. 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.

21. 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