Download presentation

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**

Army Daniel

11
SOH-CAH-TOA Army Daniel

12
**TOA: TAN-OPP-ADJ tan = opposite side adjacent OPPOSITE HYPOTENUSE**

Army Daniel

13
**A QUICK REVIEW SOH - sin = Opposite side Hypotenuse**

CAH - cos = Adjacent side 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 3 ADJ**

tan = OPP ADJ 3 ADJ 5 HYP 4 OPP Army Daniel

17
**Check : ANSWERS Find sin = OPP = 4 HYP 5 cos = ADJ = 3 3 ADJ**

tan = OPP = 4 ADJ 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 How? Use SOH – CAH - TOA cos 60° = .5 = ADJ = 1 HYP x x**

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? Height 6 miles SOH - sin = Opposite side**

Hypotenuse CAH - cos = Adjacent side TOA - tan = Opposite side Adjacent side Which one should we use? Height 6 miles Army Daniel

27
**Which one? Height 6 miles SOH - sin = Opposite side Hypotenuse**

CAH - cos = Adjacent side TOA - tan = Opposite side Adjacent side Height 6 miles Army Daniel

28
**WHY?? Height h 3 miles tan = Opposite side Adjacent side**

tan 60° (3mi) = h . (3mi) 3 mi (tan 60°)(3 miles) = h (0.866)(3) = h h = miles Height h 3 miles Army Daniel

29
**WHY?? Height h= 2.598 3 miles tan = Opposite side Adjacent side**

tan 60° (3mi) = h . (3mi) 3 mi (0.866 )(3 miles) = h answer h = miles Height h= 2.598 3 miles Army Daniel

30
**WHY?? Height h 3 miles tan = Opposite side Adjacent side**

tan 60° = h 3 miles (tan 60°)(3 miles) = h (0.866)(3) = h h = miles Height h 3 miles Army Daniel

31
**WHY?? Height h 3 miles tan = Opposite side Adjacent side**

tan 60° = h 3 miles (tan 60°)(3 miles) = h (0.866)(3) = h h = miles Height h 3 miles Army Daniel

32
**You deserve a HAND! Now, Let’s Work!!! SOHCAHTOA!!! EXCELLENT!!!**

Army Daniel

33
**ASSIGNMENT Class Asignment: pp. 356-359 Problems #’s 1 – 40 Homework:**

p. 360 – 361 #’s 3 – 51 multiples of 3 Army Daniel

34
**Resources Picture of Sohcahtoa:**

[Devil’s Tower] Army Daniel

Similar presentations

OK

Right Triangle Trigonometry Trigonometry is based upon ratios of the sides of right triangles. The ratio of sides in triangles with the same angles is.

Right Triangle Trigonometry Trigonometry is based upon ratios of the sides of right triangles. The ratio of sides in triangles with the same angles is.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google

Ppt on market friendly state for retirees Hypothalamus anatomy and physiology ppt on cells Ppt on bluetooth based smart sensor networks applications Ppt on animation technology Download ppt on autonomous car Ppt on statistics and probability books Presentations ppt online reader Ppt on nepali culture show Ppt on pi in maths what does mode Ppt on automobile related topics about computer