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8.3 Ratios in Right Triangles
To find trig ratios using right triangles
To solve problems using trig ratios
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trigonometry- the word comes from 2 Greek words trigon-meaning triangle
metron meaning measure.
Sinopposite
hypotenuse Cos
adjacent
hypotenuse Tan
opposite
adjacent
A ratio of the lengths of sides of a right triangle .
hypotenuse
A
BCA
djac
ent
opposite
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Watch this video...
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IN
pposi te
ypotenuse
OS
djacent
AN
ypotenuse
pposi te
djacent
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Find sin A, cos A, tan A, sin B, cos B, and tan B. Express each ratio as a fraction and as a decimal
A
B
C 12
13
5
sin .A 5
130 385 cos .A
12
13923 tan .A
5
12417
sin .B 12
13923 cos .B
5
13385 tan .B
12
52 4
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Find the value of each ratio to the nearest ten-thousandth
sin 7o = .1219 cos 30o = .8660
Find the measure of each angle to the nearest tenth degree
sin A = .7245
A = sin-1 .7245A = 46.4o
tan C = 9.4618
C = 84o
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Find x
63o
20
x
determine the relationship between the given angle and the sides
sin6320
x
.891
1
20x
cross multiply
.891x = 20
solve for x
x = 22.45
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Homework
• Put this in your agenda
• Pg 416 17 - 37 odd, 38 - 49