Lesson 7.4A ppt.

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Tuesday night
This morning
Wednesday
morning
This morning
 This Week at a Glance
 Warm-up
 Correct 7.3C Worksheet
 7.4A Notes
 Assignment: 7.4A Worksheet

Monday: 7.4A Trigonometric Ratios

Tuesday: 7.4B Solving Problems w/ Trigonometric Values

Wednesday: 7.3 to 7.4 Review

Thursday: Ch. 7A Test, Pt. 2

Friday: 7.6A Angles of Elevation & Depression
1.
2.
3.
4.
I can find trigonometric ratios using
right triangles.
Term/Concept
Definition
 A ratio is a comparison of two amounts.
Ratio
 Example: There are 12 boys and 11 girls in this class.
What is the ratio of boys to girls?
Trigonometry
 Trigonometry is a branch of mathematics that deals with
the relationships between the sides and angles of triangles.
 A trigonometric ratio is a ratio of the lengths of the sides of
Trigonometric
Ratio
a right triangle.
 The 3 most common trigonometric ratios are sine, cosine,
and tangent.
sine:
B
opposite
hypotenuse
opposite
adjacent
cosine:
hypotenuse
tangent:
A
opposite
adjacent
SOH
sine= opposite
hypotenuse
CAH
adjacent
C
TOA
cosine= adjacent tangent=opposite
hypotenuse
adjacent
Find the following trig ratios. Write your answer as a reduced fraction.
sinD 
O
H
cosD  A
H
tanD 
O
A
8
F
17
15
17
8
15
H
D
A
17
15
8
E
O
Find the following trig ratios. Write your answer as a reduced fraction.
O
sinF 
H
16
20
=
4
F
5
H
20
12
cosF  A
12
20
O
A
16
H
tanF 
3
=
5
4
=
3
12
D
O
16
E
A
Find the following trig ratios. Write your answer as a reduced fraction.
sinJ
cosJ
tanJ
12

13
H
24
5

13
12

5
26
G
SOH
sine= opposite
hypotenuse
10
CAH
J
TOA
cosine= adjacent tangent=opposite
hypotenuse
adjacent
Put your calculator in DEGREE mode!
Use a calculator to find the following values to the nearest hundredth (2
decimal places).
a. sin 47
0.73
b. cos 32
0.85
c. tan 84
9.51
7.4A Worksheet
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