1. 9.2 Soh-Cah-Toa; Setting Up Problems
Secondary Math II
9.2 Soh-Cah-Toa; Setting Up Problems

2. Warm-UP Label the sides of the triangle: Hypotenuse Adjacent Opposite
Set up the relationship:
𝑂𝑝𝑝 𝐻𝑦𝑝 𝐴𝑑𝑗 𝐻𝑦𝑝 𝑂𝑝𝑝 𝐴𝑑𝑗

3. Read the questions - what is it looking for?
Quiz 15/16
You’ve got this!!!!
Take a deep breath
Read the questions - what is it looking for?
When you are done, place your quiz face-DOWN on your desk
(we’ll pass them forward when everyone is done)

4. Math tutoring is available in the LIBRARY Monday-Friday 3:00-4:00.
(Mrs. Riggs is there on Thursdays)
Attendance recovery is offered—you can go there and work on homework and recover attendance credit for any class! (5 hours=.25 credit)

5. What you will learn
I will be able to set up trigonometric ratios for sine, cosine, and tangent in a right triangle. I will be able to identify which ratio to use to find a missing side.

6. Recap
Last time, we learned how to identify the sides hyp, opp, adj based on an angle. THEN: opp/hyp; adj/hyp; opp/adj relations

7. Soh - Cah - Toa
𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = 𝑆𝑖𝑛 (𝜃) 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = 𝐶𝑜𝑠 (𝜃) 𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 = 𝑇𝑎𝑛 (𝜃)

8. You can memorize SOH - CAH - TOA
OR use a saying/sentence!!! (like Please Excuse My Dear Aunt Sally) Create your own sentence or saying that starts with the following letters: SOHCAHTOA Example: Some Old Hag Caught A Hairy Toad Ordering Avacados *Write it on your exit ticket!

9. Example: PUT THIS IN YOUR NOTES!!!!
Sin T = Cos T = Tan T = 53 37

10. Homework Example

11. Homework Example

12. Homework Example

13. 9.3 Notes: Using trig to find missing lengths17 x

14. Three different cases can happen:h o
sine a o
tangent h a
cosine

15. Examples using sine: x 15 12 x

16. Examples using cosine:13 x 10 x

17. Examples using tangent:x 9 7 x

18. Word problem example:

19. 9.2 Worksheet