CCGPS Geometry
Day 16 (8-28-13)
UNIT QUESTION: What patterns
can I find in right triangles?
Standard: MCC9-12.G.SRT.6-8
Today’s Question:
What is a trigonometric ratio?
Standard: MCC9-12.G.SRT.6, 7
Right Triangle Trigonometry
45, 45, 90
30, 60, 90
SOH CAH TOA
DQ: How do you set up the different trig ratios?
The Trigonometric Functions
we will be looking at
SINE
COSINE
TANGENT
DQ: How do you set up the different trig ratios?
The Trigonometric Functions
SINE
COSINE
TANGENT
DQ: How do you set up the different trig ratios?
C
Opposite
Oppositeleg
leg
Opp Leg
Sin 
Hyp
Adj Leg
Cos 
Hyp
Opp Leg
Tan 
Adj Leg
A

Adjacentleg
leg
Adjacent
B
DQ: How do you set up the different trig ratios?
We need a way
to remember
all of these
ratios…
DQ: How do you set up the different trig ratios?
Some
Old
Hippie
Came
A
Hoppin’
Through
Our
Old Hippie Apartment
SOHCAHTOA
Old Hippie
Sin
Opp
Hyp
Cos
Adj
Hyp
Tan
Opp
Adj
SOHCAHTOA
Opp
Sin 
Hyp
10
Adj
Cos 
Hyp
Opp
Tan 
Adj
8

6
DQ: How do you set up the different trig ratios?
Find the sine, the cosine, and the tangent of angle M.
sin M 
L
13
cos M 
3
N
2
M
tan M 
DQ: How do you set up the different trig ratios?
Find the sine, the cosine, and the tangent of angle L.
sin M 
sin L 
cos M 
cos L 
tan M 
tan L 
L
13
3
N
2
M
DQ: How do you set up the different trig ratios?
Find the values of the three trigonometric functions of .
?
4

sin 
3
cos 
tan 
DQ: How do you set up the different trig ratios?
O
S
H
A
C
H
O
T
A