1. The Trigonometric Functions SINE COSINE TANGENT

2. SINE Pronounced “sign”

3. Pronounced “co-sign” COSINE

4. Pronounced “tan-gent” TANGENT

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

6. opposite hypotenuse adjacent hypotenuse opposite adjacent

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

8. Remember: SOH CAH TOA Sin < = Opp/Hyp Cos < = Adj/Hyp Tan < = Opp/Adj

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

10. Examples of Trig Ratios 12 20 16 Q P

11. Examples of Trig Ratios 12 20 16 P First we will find the Sine, Cosine and Tangent ratios for Angle P. Opposite Adjacent Remember: SOHCAHTOA

12. Examples of Trig Ratios 12 20 16 Q P Next we will find the Sine, Cosine, and Tangent ratios for Angle Q Opposite Adjacent Remember: 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 Shrink yourself down and stand where the angle is. Now, figure out your ratios.

14. 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.

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

16. 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.

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

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