They are connected…

They are one…

Put them together…

Learn them forever…

Scenes in the Bible …

Trigonometry in Math…

Hi I’m Moses and this is

Jesus and we want to

introduce the

Easy to Learn…

Trigonometric Functions

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?

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.

• Soh means that Sin = Opposite Hypotenuse

Cah means that Cos = Adjacent

Hypotenuse

Toa means that Tan = Opposite

Adjacent

Cho means that Csc = Hypotenuse

OppositeSha means that Sec = Hypotenuse

AdjacentCao means that Cot = Adjacent

Hypotenuse

“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).

• If Sin and Csc are opp. Then SinӨ=1

CscAs well as CosӨ =1 Sec and TanӨ =1 Cot

Wait!! O.O

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

I’m shock with your

faces mate/s, it

seems like you are all ready.

Ready for my

ultimate extremesample problem

sfor you all >:)

• 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. >:)

(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

Still for the unfortunates … don’t lose hope, you can do it. You could try to contact your math teacher for

further explanation.

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…

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!

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

Now I can get the angle in which I will use to hit him on the head using my slingshot yey!

To get the angle , Using tanӨ = Opposite / Adjacent = 9/ 20

tan Ө =

920

Ө = tan-1 (0.45)

Ө = 24.228°

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!

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.

I am Jesus!!!!

Hallelujah!!!!!!! Jesus Christ has come!! Reign the King of

Kings!!!!

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

An angle of depression of 45 degrees…means it has a complementary angle of 45º

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

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.

Climbing time!!! I gotta see Jesus!! 8

ft. high is no big deal!! :P

I can see JESUS!!!!!

they were overjoyed.

When they saw the

star,

Matthew 2: 10

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

60 60

30 30

45 miles

X ft

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

60 60

30 30

45 miles

60 60

26 miles

Let’s go see Jesus!!!

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

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.

NOAH’S ARKNOAH’S ARK

35

30 miles

X

tan 75 = x / 30

30 (Tan 35) = X

X = 14.21444

X = 14.2 miles

NOAH’S ARKNOAH’S ARK

35

30 miles

14.2miles

NOAH’S ARKNOAH’S ARK

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.

3 ft

5ft

FIND

Help we arebitten by SNAKES!Help us find the angle of elevation to see the

bronze snake please!!!!!!!

3 ft

5ft

Cos = 3 / 5

= cos 0.6

= 53.130102

= 53.13 degrees

-1

The people were healed by looking at the Bronze snake.

3 ft

5ft

FIND

THANK YOU SO MUCH!!!!!!!!!!!!!!!!!!!!!!!!!

!!!!!! MWAH MWAH!!

That is why this is used as a medical symbol

*for added information purpose only

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.

This is the fundamental lie Satan would like us all to believe.

“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.

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!

HI! I’m George W. Bush saying thank you for watching! Hope you enjoyed as much as I did!!