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Trigonometric Ratios
The word trigonometry comes from 2 Greek words, trigon, meaning triangle, and metron, meaning measure.
The study of trigonometry involves triangle measurement.
We will be studying basic ___________________ ______________________
___________________________
Identifying Sides
(video 0:00-
1:00)
a
b
B
c
A
Hypotenuse side ___________
Opposite of angle A _________ Opposite of angle
B________
Adjacent to Angle A _________ Adjacent to Angle B _______
The trig ratios we will be studying are ________________, __________________, and
______________________
Watch this video and try to pick up on the ratios for each function: (video 1:00-1:55)
Sin =______________________
Cos = _______________________
Tan = _______________________
Setting up Ratios
Sin A =
Sin B =
Cos A =
Cos B =
Tan A =
Tan B =
Sin X =
Sin Z =
Cos X =
Cos Z =
Tan X =
Tan Z =
A
5
3
C
B
4
X
13
5
Y
12
Z
Using a Calculator
Sin 39 =
Cos 58 =
Sin 30 =
Tan 85 =
Solving for a side
(video 2:00-
2:31)
Y
10
85
12
38
X
45
70
Z
A
50
34
Solving for an Angle
(video 2:31-
2:48)
15
W
20
7
27
X
32
Z
Y
18
21
12