U2.SOHCAHTOA

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Opener
F
C
6
B
E
8
D
6
G
The Trigonometric Functions
we will be looking at
SINE
COSINE
TANGENT
The Trigonometric Functions
SINE
COSINE
TANGENT
SINE
Pronounced
“sign”
COSINE
Pronounced
“co-sign”
TANGENT
Pronounced
“tan-gent”
Greek Letter q
Pronounced
“theta”
Represents an unknown angle
Opp Leg
Sinq 
Hyp
hypotenuse
Adj Leg
Cosq 
Hyp
Opp Leg
tanq 
Adj Leg
q
adjacent
opposite
opposite
Finding sin, cos, and tan.
Just writing a ratio.
Find the sine, the cosine, and the tangent of theta.
Give a fraction.
37
35
12
q
Shrink yourself
down and stand
where the angle is.
opp
35
sin q 

hyp
37
adj
12
cos q 

hyp
37
35
opp
tan q 

adj
12
Now, figure out your ratios.
Find the sine, the cosine, and the tangent of theta
8.2
24.5
q
23.1
Shrink yourself
down and stand
where the angle is.
8.2
opp

sin q 
24.5
hyp
adj
cos q 
hyp
23.1

24.5
opp
8.2
tan q 

adj
23.1
Now, figure out your ratios.
Classwork
SPW 16.4
Draw ABC where BAC = 90
and sin B = 3/5
1. What is the length of AB?
2. What is tan C?
4/3
4
Draw stick-man standing where the
angle is and mark each given side.
Then tell which trig ratio you have.
sin
O
H
Homework
Worksheet
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