1. Find the missing measures. Write all answers in radical form. 60° 30° 10 y z Warm – up 3 45  y 60  30  x 45 

2. Math II UNIT QUESTION: What patterns can I find in right triangles? Standard: MM2G1, MM2G2 Today’s Question: What is a trigonometric ratio? Standard: MM2G2.a,b

3. The Trigonometric Functions we will be looking at SINE COSINE TANGENT 5.2 & 5.3

4. The Trigonometric Functions SINE COSINE TANGENT

5. SINE Pronounced “sign”

6. Pronounced “co-sign” COSINE

7. Pronounced “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. Or there’s the famous Indian Chief, Chief SOH CAH TOA Sin = Opp/Hyp Cos = Adj/Hyp Tan = Opp/Adj

14. Finding sin, cos, and tan. (Just writing a ratio or decimal.)

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 Shrink yourself down and stand where the angle is. Now, figure out your ratios.

16. Find the sine, the cosine, and the tangent of angle A A 24.5 23.1 8.2 Give a fraction and decimal answer (round to 4 decimal places). Shrink yourself down and stand where the angle is. Now, figure out your ratios.

17. Finding an angle. (Figuring out which ratio to use and getting to use the 2 nd button and one of the trig buttons.)

18. Ex. 1: Find . Round to four decimal places. 9 17.2 Make sure you are in degree mode (not radians). 2 nd tan 17.29) Shrink yourself down and stand where the angle is. Now, figure out which trig ratio you have and set up the problem.

19. Ex. 2: Find . Round to three decimal places. 23 7 Make sure you are in degree mode (not radians). 2 nd cos 723)

20. Ex. 3: Find . Round to three decimal places. 400 200 Make sure you are in degree mode (not radians). 2 nd sin 200400)