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

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

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)

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)

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.

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

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

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!

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

Homework Example

Homework Example

Homework Example

9.3 Notes: Using trig to find missing lengths   17 x

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

Examples using sine:   x   15 12 x

Examples using cosine:   13   x 10 x

Examples using tangent:     x 9 7 x

Word problem example:  

9.2 Worksheet