1. Find the missing measures (go in alphabetical order) 60° 30° 10 y z Warm – up 3 45  y 60  30  x 45 

2. Trigonometric (trig) Ratios

3. The Trig Functions we will be looking at SINE COSINE TANGENT

4. SINE COSINE TANGENT

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

6. The side across the triangle from the angle in question Opposite side Adjacent side The side next to the angle in question opposite adjacent

7. opposite hypotenuse adjacent hypotenuse opposite adjacent

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

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

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

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

12. Finding sin, cos, and tan of an angle. Just writing a ratio

13. Find the sine, the cosine, and the tangent of angle A. 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 Shrink yourself down and stand where the angle is. Now, figure out your ratios.

15. Finding an angle. Figure out which ratio to use Use the 2 nd button with one of the trig buttons

16. Ex. 1: Find . Round to one decimal place. 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 one decimal place. 23 7 Make sure you are in degree mode (not radians). 2 nd cos 723)

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