1 / 34

SOH-CAH-TOA EAST OF JAVA

SOH-CAH-TOA EAST OF JAVA. [Exploring Trigonometric Functions]. SOH-CAH-TOA means many things. “Hello” “Goodbye” “I love you” “Your slip is showing” “It’s Your turn to take out the trash!!!”. SOHCAHTOA Also Means: “Let’s do Trig!!. [SOH] Sine – Opposite – Hypotenuse

liesel
Télécharger la présentation

SOH-CAH-TOA EAST OF JAVA

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. SOH-CAH-TOA EAST OF JAVA [Exploring Trigonometric Functions] Army Daniel

  2. SOH-CAH-TOA means many things • “Hello” • “Goodbye” • “I love you” • “Your slip is showing” • “It’s Your turn to take out the trash!!!” Army Daniel

  3. SOHCAHTOA Also Means: “Let’s do Trig!! [SOH] Sine – Opposite – Hypotenuse [CAH] Cosine – Adjacent – Hypotenuse [TOA] Tangent – Opposite - Adjacent Army Daniel

  4. First: A quick Geometry Review PARTS OF A RIGHT TRIANGLE OPPOSITE HYPOTENUSE ADJACENT Army Daniel

  5. So, Sohcahtoa![…trans. “Let’s do Trig.!”] Army Daniel

  6. We’ll break it into syllables. Army Daniel

  7. SOH-CAH-TOA Army Daniel

  8. SOH: SINE-OPP-HYP sin  = opposite side hypotenuse OPPOSITE HYPOTENUSE ADJACENT Army Daniel

  9. SOH-CAH-TOA Army Daniel

  10. CAH: COSINE-ADJ-HYP cos  = adjacent side hypotenuse OPPOSITE HYPOTENUSE ADJACENT Army Daniel

  11. SOH-CAH-TOA Army Daniel

  12. TOA: TAN-OPP-ADJ tan  = opposite side adjacent OPPOSITE HYPOTENUSE ADJACENT Army Daniel

  13. A QUICK REVIEW SOH - sin  = Opposite side Hypotenuse CAH - cos  = Adjacent side Hypotenuse TOA - tan  = Opposite side Adjacent side Army Daniel

  14. APPLICATIONS: Let’s solve a problem. Sohcahtoa! Army Daniel

  15. Check for Understanding. Find sin  = cos  = tan  = 5 3 4 Army Daniel

  16. Check : Don’t Forget! Find sin  = OPP HYP cos  = ADJ HYP tan  = OPP ADJ 3 ADJ 5 HYP 4 OPP Army Daniel

  17. Check : ANSWERS Find sin  = OPP = 4 HYP 5 cos  = ADJ = 3 HYP 5 tan  = OPP = 4 ADJ 3 3 ADJ 5 HYP 4 OPP Army Daniel

  18. APPLICATIONS: Let’s try a different problem. Sohcahtoa! Army Daniel

  19. Check for Understanding. Find x given: cos 60° = 0.5 x 60° 1 Army Daniel

  20. Check for Understanding. Find x given: cos 60° = 0.5 And don’t forget SOH-CAH-TOA x 60° 1 Army Daniel

  21. Check : ANSWER X = 2 How? x 60° 1 Army Daniel

  22. Check : ANSWER X = 2 How? Use SOH – CAH - TOA cos 60° = .5 = ADJ = 1 HYP x .5x = 1 x = 2 x 60° 1 Army Daniel

  23. APPLICATIONS: Let’s try a WORD problem! Sohcahtoa! Army Daniel

  24. Find the Height of Mt. Sohcahtoa The volcano is rumbling. The Sohcahtoans need to sacrifice a virgin. They know the base of the mountain is 6 miles high. The angle formed from the base to the top is 60°. How tall is the mountain? [Use your calculator!!!] Army Daniel

  25. Find the Height of Mt. Sohcahtoa What do we know? • = 60° Base = 6 miles = 3 miles 2 Height 6 miles Army Daniel

  26. What else do know? SOH - sin  = Opposite side Hypotenuse CAH - cos  = Adjacent side Hypotenuse TOA - tan  = Opposite side Adjacent side Which one should we use? Height 6 miles Army Daniel

  27. Which one? SOH - sin  = Opposite side Hypotenuse CAH - cos  = Adjacent side Hypotenuse TOA - tan  = Opposite side Adjacent side Height 6 miles Army Daniel

  28. WHY?? tan  = Opposite side Adjacent side tan 60°(3mi) = h .(3mi) 3 mi (tan 60°)(3 miles) = h (0.866)(3) = h h = 2.598 miles Height h 3 miles Army Daniel

  29. WHY?? tan  = Opposite side Adjacent side tan 60°(3mi) = h .(3mi) 3 mi (0.866 )(3 miles) = h answer h = 2.598 miles Height h= 2.598 3 miles Army Daniel

  30. WHY?? tan  = Opposite side Adjacent side tan 60° = h . 3 miles (tan 60°)(3 miles) = h (0.866)(3) = h h = 2.598 miles Height h 3 miles Army Daniel

  31. WHY?? tan  = Opposite side Adjacent side tan 60° = h . 3 miles (tan 60°)(3 miles) = h (0.866)(3) = h h = 2.598 miles Height h 3 miles Army Daniel

  32. EXCELLENT!!! You deserve a HAND! Now, Let’s Work!!! SOHCAHTOA!!! Army Daniel

  33. Class Asignment: pp. 356-359 Problems #’s 1 – 40 Homework: p. 360 – 361 #’s 3 – 51 multiples of 3 ASSIGNMENT Army Daniel

  34. Resources • Picture of Sohcahtoa: [Devil’s Tower] http://www.animationfactory.com/free/nature/nature_page_aa.html Army Daniel

More Related