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2.
3.
Sample answer: Regardless of the side lengths,
the trigonometric ratio is the same when
comparing angles in similar triangles.
4.
m
/
A
is the same in all triangles.
Pages 367–368
Check for Understanding
1.
The triangles are similar, so the ratios remain the
same.
2.
Sample answer:
m
/
B
5
90,
m
/
C
5
55,
b
<
26.2,
c
<
21.4
3.
All three ratios involve two sides of a right triangle.
The sine ratio is the measure of the opposite side
divided by the measure of the hypotenuse. The
cosine ratio is the measure of the adjacent side
divided by the measure of the hypotenuse. The
tangent ratio is the measure of the opposite side
divided by the measure of the adjacent side.
4.
The tan is the ratio of the measure of the opposite
side divided by the measure of the adjacent side for
a given angle in a right triangle. The tan
2
1
is the
measure of the angle with a certain tangent ratio.
5.
sin
A
5
}
o
h
p
y
p
p
o
o
s
t
i
e
t
n
e
u
l
s
e
e
g
}
5 }
a
c
}
5 }
1
5
4
0
}
5
0.28
cos
A
5
}
a
h
d
y
j
p
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This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.
 Fall '10
 Dr.Zhan
 Calculus, PreCalculus, Trigonometric Ratios

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