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PPT – Trigonometry PowerPoint presentation | free to download - id: 58ea2b-YWE3N

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Trig SOH CAH TOA

A

B

C

WHICH HOUSE WOULD YOU RATHER LIVE IN?

House number 1 OR House number 2?

House number 1

House number 2

Trigonometry

- Trig means angle measurement
- Trig deals with the relation between sides and

angles - Trig helps you find the length of a side or the

measure of an angle

What might you use trig for?

To build a house correctly

Is your ladder long enough to reach the

gutters? What is the shortest distance between

two points? What is the height and width of a TV

screen? Where will your furniture fit in a

room? What is the height of a building or a

tree? How can you build a staircase?

Trigonometric Ratios

- Sine Sin _opposite_
- hypotenuse
- Cosine Cos _adjacent_
- hypotenuse
- Tangent Tan opposite
- adjacent

Trig Memory Clue

- SOH CAH TOA
- S ine C osine T

angent - O pposite A djacent O

pposite - H ypotenuse H ypotenuse A djacent

SIN, COS, and TANFind sine, cosine, and tangent

of acute angles only.

A

Sin

Cos

Tan

5

2

Sin

Cos

B

C

Tan

3

B

11

T

L

3

6.7

F

14

17.8

6

Sin Cos Tan

R

Sin Cos Tan

G

O

for the red acute angle only.

Y

6

7

12

Y

A

13.4

R

9

Sin Cos Tan

Sin Cos Tan

11.4

X

U

Sin Cos Tan

14.2

9

E

Z

11

PRACTICE SIN, COS, and TAN

1.

2.

3.

A

N

A

10

25

8

12

13

24

C

B

L

T

H

S

6

5

7

Sin Cos Tan

Sin Cos Tan

Sin Cos Tan

for both acute angles.

R

3

H

A

6.2

7.1

3

A

Sin Cos Tan

Sin Cos Tan

M

M

I

B

3.5

M

A

Sin Cos Tan

Sin Cos Tan

R

B

M

A

R

B

R

B

W

4.

5.

D

Sin Cos Tan

16

12

15

Sin Cos Tan

20

Y

J

P

9

V

12

6.

9

N

16

C

Sin Cos Tan

13

L

7.

8.

P

3

25

Y

T

E

5

Sin Cos Tan

7

24

4

Sin Cos Tan

I

A

Q

9.

24

10

Sin Cos Tan

G

D

26

C

10.

11.

F

6

10

Sin Cos Tan

O

8

S

26

Sin Cos Tan

24

12.

G

15

Z

I

10

E

25

20

Sin Cos Tan

T

K

13.

14.

M

Sin Cos Tan

1

S

1

B

2

Sin Cos Tan

W

1

I

15.

F

4

2

Sin Cos Tan

C

H

16.

17.

6.2

F

E

L

6.2

B

Sin Cos Tan

3.5

Sin Cos Tan

7.1

7.8

10

O

18.

M

6.4

Sin Cos Tan

T

4.7

D

4.3

U

19.

20.

Q

E

Sin Cos Tan

4.1

7.8

7

T

6

G

5.6

Z

5

A

21.

30

B

Sin Cos Tan

Sin Cos Tan

D

34

16

C

22.

23.

R

Sin Cos Tan

32

J

I

24

40

25

24

Sin Cos Tan

A

32

B

C

O

24.

48

Sin Cos Tan

14

G

50

L

What is the hypotenuse?

- It is always across from the right angle.
- It is always the longest side.

hypotenuse

Hypotenuse

A

L

A

E

E

G

C

A

L

A

G

B

Practice marking the hypotenuse

A

G

H

1.

2.

B

C

I

E

3.

4.

K

J

L

D

F

Practice marking the hypotenuse

A

C

A

6.

5.

B

C

A

8.

C

B

B

7.

A

C

B

Practice marking the hypotenuse

A

B

10.

9.

A

C

A

C

C

12.

11.

B

B

B

A

C

What is the opposite side?

- It is the side across from the angle youre

working with.

A

The side opposite is

The side opposite is

C

B

Opposite Side

O

I

I

Side opposite Side opposite

K

N

Side opposite

Side opposite

P

K

M

N

P

J

S

D

D

M

V

V

Side opposite Side opposite

Side opposite Side opposite

S

D

M

Practice marking opposite side

A

A

1.

2.

T

C

A

D

B

C

3.

4.

D

O

G

B

Practice marking opposite side

E

Y

5.

6.

D

D

C

L

R

I

7.

8.

O

G

P

W

Practice marking the opposite side

D

U

10.

9.

F

M

D

G

A

12.

11.

Z

I

A

G

Z

What is the adjacent side?

- The adjacent side runs alongside the angle (but

it wont be the hypotenuse).

The side adjacent to is

B

The side adjacent to is

A

C

Practice marking the adjacent side

B

M

O

1.

2.

ltA

Side adjacent to Side adjacent to

ltB

Side adjacent to Side adjacent to

ltP

ltO

A

C

B

C

R

3.

4.

P

ltA

Side adjacent to Side adjacent to

A

G

ltR

ltA

Side adjacent to Side adjacent to

A

ltB

Practice marking the adjacent side

F

N

E

5.

6.

D

U

D

I

R

P

A

7.

8.

L

B

Practice marking the adjacent side

O

U

9.

10.

S

F

G

N

W

11.

12.

G

D

A

G

U

STRAW ACTIVITY

- You will be given 3 straws and a piece of poster

board. - Place the straws on the poster board in the shape

of a right triangle - Label the angles with your initials
- Label the hypotenuse
- I will come around and give you one of the

angles - You will label the opposite side and the

adjacent side

STRAW ACTIVITY EXAMPLE

Using angle L, label the opposite and adjacent

sides

L

hypotenuse

adjacent

A

T

opposite

Practice marking different sides

A

T

1.

2.

D

E

H

I

Y

3.

S

4.

E

V

O

R

5.

M

P

P

C

6.

A

A

7.

P

P

8.

A

N

T

A

O

T

10.

9.

O

Y

N

U

11.

S

12.

K

M

J

A

V

A

13.

14.

M

J

C

D

A

E

15.

N

E

16.

O

W

L

Q

Y

17.

18.

R

T

W

E

19.

A

G

20.

F

S

D

H

J

21.

22.

L

K

O

M

N

B

C

23.

24.

P

V

I

X