soh cah toa east of java n.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
SOH-CAH-TOA EAST OF JAVA PowerPoint Presentation
Download Presentation
SOH-CAH-TOA EAST OF JAVA

Loading in 2 Seconds...

play fullscreen
1 / 34

SOH-CAH-TOA EAST OF JAVA - PowerPoint PPT Presentation


  • 149 Views
  • Uploaded on

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

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

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.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
soh cah toa east of java

SOH-CAH-TOA EAST OF JAVA

[Exploring Trigonometric Functions]

Army Daniel

soh cah toa means many things
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

sohcahtoa also means let s do trig
SOHCAHTOA Also Means: “Let’s do Trig!!

[SOH] Sine – Opposite – Hypotenuse

[CAH] Cosine – Adjacent – Hypotenuse

[TOA] Tangent – Opposite - Adjacent

Army Daniel

first a quick geometry review
First: A quick Geometry Review

PARTS

OF A

RIGHT

TRIANGLE

OPPOSITE

HYPOTENUSE

ADJACENT

Army Daniel

soh cah toa
SOH-CAH-TOA

Army Daniel

soh sine opp hyp
SOH: SINE-OPP-HYP

sin  = opposite side

hypotenuse

OPPOSITE

HYPOTENUSE

ADJACENT

Army Daniel

soh cah toa1
SOH-CAH-TOA

Army Daniel

cah cosine adj hyp
CAH: COSINE-ADJ-HYP

cos  = adjacent side

hypotenuse

OPPOSITE

HYPOTENUSE

ADJACENT

Army Daniel

soh cah toa2
SOH-CAH-TOA

Army Daniel

toa tan opp adj
TOA: TAN-OPP-ADJ

tan  = opposite side

adjacent

OPPOSITE

HYPOTENUSE

ADJACENT

Army Daniel

a quick review
A QUICK REVIEW

SOH - sin  = Opposite side

Hypotenuse

CAH - cos  = Adjacent side

Hypotenuse

TOA - tan  = Opposite side

Adjacent side

Army Daniel

applications
APPLICATIONS:

Let’s solve a problem.

Sohcahtoa!

Army Daniel

check for understanding
Check for Understanding.

Find

sin  =

cos  =

tan  =

5

3

4

Army Daniel

check don t forget
Check : Don’t Forget!

Find

sin  = OPP

HYP

cos  = ADJ

HYP

tan  = OPP

ADJ

3

ADJ

5 HYP

4 OPP

Army Daniel

check answers
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

applications1
APPLICATIONS:

Let’s try a different problem.

Sohcahtoa!

Army Daniel

check for understanding1
Check for Understanding.

Find x

given: cos 60° = 0.5

x

60°

1

Army Daniel

check for understanding2
Check for Understanding.

Find x

given: cos 60° = 0.5

And don’t forget

SOH-CAH-TOA

x

60°

1

Army Daniel

check answer
Check : ANSWER

X = 2

How?

x

60°

1

Army Daniel

check answer1
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

applications2
APPLICATIONS:

Let’s try a WORD problem!

Sohcahtoa!

Army Daniel

find the height of mt sohcahtoa
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

find the height of mt sohcahtoa1
Find the Height of Mt. Sohcahtoa

What do we know?

  • = 60°

Base = 6 miles = 3 miles

2

Height

6 miles

Army Daniel

what else do know
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

which one
Which one?

SOH - sin  = Opposite side

Hypotenuse

CAH - cos  = Adjacent side

Hypotenuse

TOA - tan  = Opposite side

Adjacent side

Height

6 miles

Army Daniel

slide28
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

slide29
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

slide30
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

slide31
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

excellent
EXCELLENT!!!

You deserve a HAND!

Now, Let’s Work!!!

SOHCAHTOA!!!

Army Daniel

assignment
Class Asignment:

pp. 356-359 Problems #’s 1 – 40

Homework:

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

ASSIGNMENT

Army Daniel

resources
Resources
  • Picture of Sohcahtoa:

[Devil’s Tower] http://www.animationfactory.com/free/nature/nature_page_aa.html

Army Daniel