
Introduction to Trig Ratios
Presentation
•
Mathematics
•
9th - 12th Grade
•
Medium
Standards-aligned
Lauren Wisehart
Used 35+ times
FREE Resource
9 Slides • 23 Questions
1
Introduction to Trig
Ratios
2
We use Trig Ratios for RIGHT TRIANGLES
We use Trig Ratios for RIGHT
TRIANGLES.
The first step is identifying the
REFERENCE ANGLE.
This angle is sometimes referred
to as theta 𝚹.
𝚹
3
Labeling/Identifying Sides
From the reference angle, you can
identify the sides of the triangle.
Hypotenuse: Longest side; across
from the right angle
*THESE 2 LABELS ARE DEPENDENT ON
THE REFERENCE ANGLE.*
Opposite: Leg ACROSS from the
reference angle.
Adjacent: Leg that makes the
angle.
Hypotenuse
𝚹
Opposite
Adjacent
Introduction to Trigonometry
Opposite
4
𝚹
𝚹
𝚹
𝚹
𝚹
5
𝚹
𝚹
𝚹
𝚹
𝚹
Opposite
Adjacent
Hypotenus
Hypotenuse
Adjacent
Opposite
Opposite
Opposite
Opposite
Adjacent
Adjacent
Adjacent
Hypotenuse
Hypotenuse
Hypotenuse
6
Multiple Choice
Which leg is opposite ∠F?
DE
DF
EF
Cannot be determined
7
Multiple Choice
Which leg is adjacent to ∠F?
DE
DF
EF
Cannot be determined
8
Multiple Choice
Which side is the hypotenuse?
DE
DF
EF
Cannot be determined
9
Multiple Choice
7
24
25
10
Multiple Choice
16
30
34
11
Multiple Choice
1
2
3
12
Multiple Choice
1
2
3
13
Multiple Choice
Adjacent
Hypotenuse
Opposite
14
Trig Ratios
15
Trig Ratios
O
H
A
16
𝚹
��
𝚹
𝚹
24
10
10
8
52
48
20
24
10
sin(𝚹)=
cos(𝚹)=
tan(𝚹)=
sin(𝚹)=
cos(𝚹)=
tan(𝚹)=
sin(𝚹)=
cos(𝚹)=
tan(𝚹)=
sin(𝚹)=
cos(𝚹)=
tan(𝚹)=
26
6
26
17
𝚹
��
𝚹
𝚹
24
10
10
8
52
48
20
24
10
sin(𝚹)=
cos(𝚹)=
tan(𝚹)=
sin(𝚹)=
cos(𝚹)=
tan(𝚹)=
sin(𝚹)=
cos(𝚹)=
tan(𝚹)=
sin(𝚹)=
cos(𝚹)=
tan(𝚹)=
26
6
26
O
O
O
O
H
H
H
H
A
A
A
A
24/26 or 12/13
10/26 or 5/13
24/10 or 12/5
20/52
48/52
20/48
8/10
6/10
8/6
26/24
10/24
26/10
18
Multiple Choice
Which is the correct ratio for the sine ratio?
hypotenuseadjacent
hypotenuseopposite
opposite adjacent
adjacent opposite
19
Multiple Choice
Which is the correct ratio for the cosine ratio?
hypotenuseadjacent
hypotenuseopposite
opposite adjacent
adjacent opposite
20
Multiple Choice
Which is the correct ratio for the tangent ratio?
hypotenuseadjacent
hypotenuseopposite
opposite adjacent
adjacent opposite
21
Multiple Choice
What is cosA ?
2029
2921
2920
2021
22
Multiple Choice
What is tanA ?
2029
2921
2920
2021
23
Multiple Choice
What is tan C ?
2120
2921
2920
2021
24
Multiple Choice
cos______ = 5040
A
B
C
25
Multiple Choice
tan_____ = 1630
X
Y
Z
26
Multiple Choice
sin _____ = 3416
X
Y
Z
27
Multiple Choice
36/27
4/5
36/45
3/5
28
Multiple Choice
p/q
q/r
p/r
r/q
29
Multiple Choice
sine
cosine
tangent
cotangent
30
Multiple Choice
sine
cosine
tangent
31
Multiple Choice
Sine
Cosine
Tangent
32
Multiple Choice
Sine
Cosine
Tangent
Introduction to Trig
Ratios
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