trig soh cah toa a c b. which house would you rather live in? house number 1 or house number 2?
TRANSCRIPT
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Trig SOH CAH TOAA
C B
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WHICH HOUSE WOULD YOU RATHER LIVE IN?
House number 1 OR House number 2?
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House number 1
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House number 2
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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
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What might you use trig for?
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?
To build a house correctly
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Trigonometric RatiosSine Sin = _opposite_ hypotenuse Cosine Cos = _adjacent_ hypotenuse
Tangent Tan = opposite adjacent
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Trig Memory Clue
SOH CAH TOA
S ine C osine T angent O pposite A djacent O pposite H ypotenuse H ypotenuse A djacent
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SIN, COS, and TANFind sine, cosine, and tangent of acute
angles only.A
BC
2
3
5
Sin =
Cos =
Tan =
A
A
A
Sin =
Cos =
Tan =
B
B
B
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Sin
Cos
Tan
Sin
Cos
Tan
T L
G
F
B
R
3
6
6.7
14
11
17.8
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Y
O
U
AR
E
X
Y
Z
Sin
Cos
Tan
Sin
Cos
Tan
Sin
Cos
Tan
7
11.4
11
9
14.2
612
13.49
…for the red acute angle only.
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PRACTICE SIN, COS, and TANA
H
N
CS B
Sin
Cos
Tan
Sin
Cos
Tan
1. 2. 3.
LT
A
6
810
12 13
5
2425
7
Sin
Cos
Tan
…for both acute angles.
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H A
M
R
IB
Sin
Cos
Tan
Sin
Cos
Tan
Sin
Cos
Tan
Sin
Cos
Tan
6.27.1
3
3
3 2
3.5
A
M
A
M
A
M R
R
R
B
B
B
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N
D
YJ
L
P
C
W
V
Sin
Cos
Tan
Sin
Cos
Tan
Sin
Cos
Tan
4. 5.
6.
9
12 15
16
12
20
9
16
13
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7. 8.
9.
P
I
YT
E
Q
A
DG
Sin
Cos
Tan
Sin
Cos
Tan
Sin
Cos
Tan
724
25
1024
26
3
4
5
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10. 11.
12.
G
I
F
E
C
T
S
Z
OSin
Cos
Tan Sin
Cos
Tan
Sin
Cos
Tan
6 10
8
10
26
24
15
25
20
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13. 14.
15.
S
F
H
K
M
B
C
W
I
Sin
Cos
Tan
Sin
Cos
Tan
Sin
Cos
Tan
12
3 1
1
2
2
4
2 5
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16. 17.
18.
L
O
M
U
B
T
F E
D
Sin
Cos
TanSin
Cos
Tan
Sin
Cos
Tan
6.2
7.8 10
6.2
3.5
7.1
4.3
4.7
6.4
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19. 20.
21.
Q
Z
A
E
D
C
T
G
B
Sin
Cos
Tan
Sin
Cos
Tan
Sin
Cos
Tan
4.1
5.6
7
5
6
7.8
16
30
34
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22. 23.
24.
Sin
Cos
Tan
Sin
Cos
Tan
Sin
Cos
Tan
JI
B
C
A
R
L
O
G
25 24
32
24
32
40
50
48
14
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What is the hypotenuse?
It is always across from the right angle.It is always the longest side.
hypotenuse
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HypotenuseA
EGE
L
A
A
B
C A
G
L
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Practice marking the hypotenuseA
B
G
I
H
K
LD
E
J
C
F
1. 2.
3. 4.
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Practice marking the hypotenuseA
B
CA
BC A
A
B
B
C
C
5. 6.
7. 8.
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Practice marking the hypotenuse
A
B
C
9.
10.
C
B
A
A
B
11.
CA
B
C12.
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What is the opposite side?
It is the side across from the angle you’re working with.
A
C B
The side opposite is
A
CB
The side opposite is
B
AC
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Opposite Side
N
O
PK
I
M
S
D M
J
D
V
Side opposite
Side opposite
Side opposite Side opposite
Side opposite Side oppositeSide opposite
Side opposite
N
P
K
I
S
M
V
D
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Practice marking opposite sideA
TC
A
BCA
B
D
G
D O
1. 2.
3. 4.
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Practice marking opposite side
D
L
EY
GO
C
W
R
P
D
I
5. 6.
7.8.
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Practice marking the opposite side
A
D
F
9. 10.
G
M
U
G
Z I11.
12.
Z
D
A
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What is the adjacent side?
The adjacent side runs alongside the angle (but it won’t be the hypotenuse).
A
B
C
The side adjacent to is
A
AC
The side adjacent to is
B
BC
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Practice marking the adjacent side
A
B
C
A
RC
A
O
P
B
G
1. 2.
3. 4.
M
Side adjacent to
Side adjacent to
Side adjacent to
Side adjacent to
Side adjacent to
Side adjacent to Side adjacent to
Side adjacent to
<B
<A
<P
<O
<R
<A
<A
<B
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Practice marking the adjacent sideF
I R
AP
L
E
D
B
D
N
U
5. 6.
7. 8.
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Practice marking the adjacent sideO
G
U
G
F
D
S
A
G
NW
U9. 10.
11. 12.
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STRAW ACTIVITYYou 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
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STRAW ACTIVITY EXAMPLE
L
A T
hypotenuse
Using angle L, label the opposite and adjacent sides
opposite
adjacent
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Practice marking different sides1.
H
T
E
2.
A
D
Y3. S
O
I
4.
V
R
E
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5.
6.
7.
8.
A
A A
A
P
M
T
P
N
P
C
P
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9.T
O
N
10.
Y
O
U
11.S
K
J
12.
M
A V
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13.
A
C
E
14.
J
M
A
15. N E
W
16.
O
L
D
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17. 18.
19.20.
Q
W E
R T
Y
A
S D
F
G
H
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21. 22.
23. 24.
LK
J
M N
B
P
O
I
V
C
X