Warm

1
Warm up Find the missing measures. Write all
answers in radical form.
Session 17
30
45
x
7
10
z
45
w
60
y
2
The Trigonometric Functions we will be looking at
SINE
COSINE
TANGENT
3
The Trigonometric Functions
SINE
COSINE
TANGENT
4
SINE
Prounounced sign
5
COSINE
Prounounced co-sign
6
TANGENT
Prounounced tan-gent
7
Greek Letter q
Prounounced theta
Represents an unknown angle
8
hypotenuse
hypotenuse
opposite
opposite
adjacent
adjacent
9
We need a way to remember all of these ratios
10
Some
Old
Hippie
Came
A
Hoppin
Through
Our
Old Hippie
Apartment
11
Sin
SOHCAHTOA
Opp
Hyp
Cos
Adj
Hyp
Tan
Opp
Adj
Old Hippie
12
Finding sin, cos, and tan
13
SOHCAHTOA
10
8
6
14
Find the sine, the cosine, and the tangent of
angle A. Give a fraction and decimal answer
(round to 4 places).
10.8
9
A
6
15
Find the values of the three trigonometric
functions of ?.
?
Pythagorean Theorem
5
4
(3)² (4)² c²
5 c
3




16
Find the sine, the cosine, and the tangent of
angle A
Give a fraction and decimal answer (round to 4
decimal places).
24.5
B
8.2
A
23.1
17
Finding a side
18
Ex.
A surveyor is standing 50 feet from the base of a
large tree. The surveyor measures the angle of
elevation to the top of the tree as 71.5. How
tall is the tree?
tan 71.5
?
tan 71.5
71.5
y 50 (tan 71.5)
50
y 50 (2.98868)

19
Ex. 5
A person is 200 yards from a river. Rather than
walk directly to the river, the person walks
along a straight path to the rivers edge at a
60 angle. How far must the person walk to reach
the rivers edge?
cos 60
x (cos 60) 200
200
x
60
x

X 400 yards