how bible is integrated with trigonometry
DESCRIPTION
this was for school. xDTRANSCRIPT
![Page 1: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/1.jpg)
![Page 2: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/2.jpg)
They are connected…
They are one…
Put them together…
Learn them forever…
Scenes in the Bible …
Trigonometry in Math…
![Page 3: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/3.jpg)
![Page 4: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/4.jpg)
![Page 5: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/5.jpg)
Hi I’m Moses and this is
Jesus and we want to
introduce the
Easy to Learn…
Trigonometric Functions
![Page 6: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/6.jpg)
Soh Cah! To-a!
Cho Sha Cao.. La..Hindi
Chinese!!!!!!!!
Of course no!! That are the key words to
remember the 6 Trigo. Functions… Let us try
them, shall we?
![Page 7: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/7.jpg)
We call this diagonal side as…
We call this diagonal side as…
If the angle is at that
part then the side that is
it’s front view is
what we call
And lastly this side is what we call…
But first let us talk
about the different side of a triangle
before we discuss
the 6. trigo functions.
![Page 8: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/8.jpg)
• Soh means that Sin = Opposite Hypotenuse
Cah means that Cos = Adjacent
Hypotenuse
Toa means that Tan = Opposite
Adjacent
![Page 9: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/9.jpg)
Cho means that Csc = Hypotenuse
OppositeSha means that Sec = Hypotenuse
AdjacentCao means that Cot = Adjacent
Hypotenuse
![Page 10: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/10.jpg)
“Sha” Sec Ө = Hypotenuse Adjacent
“Cao” CotӨ = Adjacent Hypotenuse
As well as Cos. is opp. with Sec. and Tan is opp. With Cot
Don’t forget that sine is opposite with csc (cosecant).
![Page 11: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/11.jpg)
• If Sin and Csc are opp. Then SinӨ=1
CscAs well as CosӨ =1 Sec and TanӨ =1 Cot
Wait!! O.O
![Page 12: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/12.jpg)
Let’s try so if you are given those shown on the graph how will you get side of C?
Always don’t forget the formula:
c2 = a2+b2 for Pythagorean.As you can also see C is the Hypotenuse and A & B depends on where is the given
angle but in a graph of x & y axis it is mostly at angle A
Wait you haven’t learned how to use
PythagoreanSimple using the c2 = a2+b2 transpose
the square root which will make it c= square root of 122+52 add them will make
it c= square root of 169 which is …………………13
![Page 13: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/13.jpg)
I’m shock with your
faces mate/s, it
seems like you are all ready.
Ready for my
ultimate extremesample problem
sfor you all >:)
![Page 14: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/14.jpg)
• If you are given (5,-12) find the 6 trigo. functions.
Next enter will show the correct answers
SinӨ=-12/13 CscӨ=13/12
CosӨ=5/13 SecӨ=13/5
TanӨ=12/5 CotӨ=5/-12
Well I assume you have gotten the correct answers but I would still
give the solution though for the
unfortunates. >:)
![Page 15: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/15.jpg)
(5,-12)
X
y5-a
-12-o13-h
Solution:c2=a2 +b2
c= 52 +122
c= 169
c=13If SinӨ= o/h
SinӨ= -12/13
Do this to the other 5 trigo. functions and you’ll ended up
with the correct answer
Always remember to
neglect negative
signs when using
Pythagorean
?
Ө
![Page 16: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/16.jpg)
Still for the unfortunates … don’t lose hope, you can do it. You could try to contact your math teacher for
further explanation.
![Page 17: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/17.jpg)
![Page 18: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/18.jpg)
1 Samuel 17:23
… Goliath, the Philistine champion from Gath, stepped out from his lines and shouted his usual defiance, and David heard it.
1 Samuel 17:50
So David triumphed over the Philistine with a sling and a stone…
![Page 19: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/19.jpg)
How can I hit Goliath straight on the head?
Muhahahahaa
I know! I need to know the angle of elevation between us!!
Nobody can stop me!
![Page 20: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/20.jpg)
First to know is his height which is 9 ft.
Second to know is the distance between us which is 20 ft.
Now I can form a right triangle
![Page 21: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/21.jpg)
Now I can get the angle in which I will use to hit him on the head using my slingshot yey!
![Page 22: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/22.jpg)
To get the angle , Using tanӨ = Opposite / Adjacent = 9/ 20
tan Ө =
920
Ө = tan-1 (0.45)
Ө = 24.228°
![Page 23: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/23.jpg)
Now I can get the angle in which I will use to hit him on the head using my slingshot yey!
I found the angle! It’s hitting time! Slingshot!
![Page 24: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/24.jpg)
![Page 25: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/25.jpg)
Luke 19: 3-4
Zacchaeus wanted to see who Jesus was, but being a short man he could not, because of the crowd.
So he ran ahead and climbed a sycamore-fig tree to see Him since Jesus was coming that way.
![Page 26: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/26.jpg)
I am Jesus!!!!
Hallelujah!!!!!!! Jesus Christ has come!! Reign the King of
Kings!!!!
![Page 27: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/27.jpg)
I’m Zacchaeus,
Jesus!!! Where?
Where? I can’t see
Him!!!
I am too small..but wait…. I know!!!!!!! I need to climb up on the Sycamore tree and find out the how high I need to climb to see Jesus!
To see JESUS!! knowing that the angle of depression is 45º
![Page 28: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/28.jpg)
An angle of depression of 45 degrees…means it has a complementary angle of 45º
![Page 29: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/29.jpg)
Get the distance between us which is 8 ft.The complementary angle of the angle of depression of 45º
Now I can find out the height
By forming a right triangle
![Page 30: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/30.jpg)
To get the height Zacchaeus needs to climb up , by Using tan 45º= Opposite / Adjacent = 8/A
tan 45º=
8A
A = 8 / tan 45º
A = 8 ft.
![Page 31: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/31.jpg)
![Page 32: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/32.jpg)
Climbing time!!! I gotta see Jesus!! 8
ft. high is no big deal!! :P
![Page 33: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/33.jpg)
I can see JESUS!!!!!
![Page 34: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/34.jpg)
they were overjoyed.
When they saw the
star,
Matthew 2: 10
![Page 35: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/35.jpg)
Ever wonder how the 3 wise men,
They actually used trigonometry using the angle of depression of the bright STAR.
find baby Jesus’ manger?
Gaspar, Melchior and Balthasar
![Page 36: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/36.jpg)
60 60
30 30
45 miles
X ft
![Page 37: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/37.jpg)
We need to find X so that we can determinehow far the 3 wise men need to travel in order to reach the manger.
30
6045 m
iles
Tan 60 = 45/ X1
X1 = 45/ tan60
X1 = 141 miles
X1
Since there are 2 triangles,Multiply it by 2 and the answerIs…. 141 x 2 = 282 miles
![Page 38: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/38.jpg)
60 60
30 30
45 miles
60 60
26 miles
![Page 39: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/39.jpg)
Let’s go see Jesus!!!
![Page 40: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/40.jpg)
Genesis 8:18
So Noah came out, together with his sons and his wife and his sons’ wives.
Genesis 8:8
Then Noah sent out a dove to see if the water had receded from the surface of the ground
![Page 41: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/41.jpg)
It rained for 40 days and 40 nights… But Noah survived
the terrible storm because he obeyed the Lord and had
built an ark. He was in the middle of the sea. He had
devised a plan in order to know if there is land yet. He
had used a dove and had computed the distance between
the dove’s altitude and the distance from his ark to the island.
![Page 42: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/42.jpg)
NOAH’S ARKNOAH’S ARK
35
30 miles
X
![Page 43: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/43.jpg)
tan 75 = x / 30
30 (Tan 35) = X
X = 14.21444
X = 14.2 miles
![Page 44: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/44.jpg)
NOAH’S ARKNOAH’S ARK
35
30 miles
14.2miles
![Page 45: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/45.jpg)
NOAH’S ARKNOAH’S ARK
![Page 46: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/46.jpg)
Numbers 21:9
So Moses made a bronze snake and put it up on a pole. Then when anyone was bitten by a snake and looked at the bronze snake, he lived.
![Page 47: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/47.jpg)
![Page 48: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/48.jpg)
3 ft
5ft
FIND
Help we arebitten by SNAKES!Help us find the angle of elevation to see the
bronze snake please!!!!!!!
![Page 49: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/49.jpg)
3 ft
5ft
Cos = 3 / 5
= cos 0.6
= 53.130102
= 53.13 degrees
-1
![Page 50: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/50.jpg)
The people were healed by looking at the Bronze snake.
3 ft
5ft
FIND
THANK YOU SO MUCH!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!! MWAH MWAH!!
![Page 51: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/51.jpg)
That is why this is used as a medical symbol
*for added information purpose only
![Page 52: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/52.jpg)
Matthew 4:8
Again, the devil took Jesus to a very high mountain and showed him all the kingdoms of the world and their splendor.
![Page 53: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/53.jpg)
This is the fundamental lie Satan would like us all to believe.
![Page 54: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/54.jpg)
“All these I will give you, if you will fall down and worship me.”
C‘mon Jesus! The audience will help you find out the angle of depression you want ,to view these riches!!
Now audience help me ok?! I’ll show you the necessary details, it’s your turn to find out the angle by yourself!
Sorry dear devil, I don’t like.
![Page 55: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/55.jpg)
Look for the angle of depression by
yourself! Your answer should be ….nuh-uh! Find it
yourself! Ok?! Ask your teacher to
find out the answer!
![Page 56: How Bible is Integrated With Trigonometry](https://reader037.vdocuments.us/reader037/viewer/2022103014/5484ada6b4af9f924c8b47d2/html5/thumbnails/56.jpg)
HI! I’m George W. Bush saying thank you for watching! Hope you enjoyed as much as I did!!