Mid-Chapter Quiz: Lessons 13-1 through 13-3 Simplify each expression.
1
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Mid-Chapter Quiz: Lessons 13-1 through 13-3
1 HISTORY In 1861, the United States 34-star flag was adopted. For this flag,
. Find sin .
Use the Pythagorean Theorem to find c. 2
2
2
a +b =c Substitute 31.5 for a and 51 for b.
Find the value of each expression.
We know that Substitute
. .
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Mid-Chapter Quiz: Lessons 13-1 through 13-3 Find the value of each expression.
We know that
.
Substitute
Since
.
,
.
We know that
.
Substitute
.
Since
,
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.
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Mid-Chapter Quiz: Lessons 13-1 through 13-3
We know that
.
Substitute
.
Since
,
.
We know that
.
Substitute
Since
.
,
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.
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Mid-Chapter Quiz: Lessons 13-1 through 13-3
We know that
.
Substitute
Since
.
,
.
MULTIPLE CHOICE Which of the following is equivalent to
?
A. B. C. D.
So, the correct option is D. D
AMUSEMENT PARKS Suppose a child on a merry-go-round is seated on an outside horse. The diameter of eSolutions Manual - Powered by Cognero
the merry-go-round is 16 meters. The angle of inclination is represented by the equation,
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where R is
So, the correct option is D. Mid-Chapter Quiz: Lessons 13-1 through 13-3 D
AMUSEMENT PARKS Suppose a child on a merry-go-round is seated on an outside horse. The diameter of the merry-go-round is 16 meters. The angle of inclination is represented by the equation,
where R is
the radius of the circular path, v is the speed in meters per second, and g is 9.8 meters per second squared. a. If the sine of the angle of inclination of the child is
, what is the angle of inclination made by the child?
b. What is the velocity of the merry-go-round? c. If the speed of the merry-go-round is 3.6 meters per second, what is the value of the angle of inclination of a rider? a.
By using a calculator, . The angle of inclination made by the child is about b. Diameter = 16 m Radius = 8 m To find the velocity of the merry-go-
The velocity of the merry-go-round is about 4 m/s. c.
, 9.8 for g, and 8 for R .
v, 9.8 for g, and 8 for R .
a. b. about 4 m/s c. Verify that each of the following is an identity. eSolutions Manual - Powered by Cognero
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a. b. about 4 Quiz: m/s Lessons 13-1 through 13-3 Mid-Chapter c. Verify that each of the following is an identity.
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Mid-Chapter Quiz: Lessons 13-1 through 13-3
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Mid-Chapter Quiz: Lessons 13-1 through 13-3
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Mid-Chapter Quiz: Lessons 13-1 through 13-3
COMPUTER The front of a computer monitor is usually measured along the diagonal of the screen as shown below. a. Find h. b. Using the diagram shown, show that
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a. Use the Pythagorean Theorem.
.
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Mid-Chapter Quiz: Lessons 13-1 through 13-3
COMPUTER The front of a computer monitor is usually measured along the diagonal of the screen as shown below. a. Find h. b. Using the diagram shown, show that
.
a. Use the Pythagorean Theorem. 2
2
2
a +b =c . Substitute 12 for a, 15 for c, and h for b.
b.
a. b.
Verify that each of the following is an identity.
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a. b. Mid-Chapter Quiz: Lessons 13-1 through 13-3 Verify that each of the following is an identity.
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Mid-Chapter Quiz: Lessons 13-1 through 13-3
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Mid-Chapter Quiz: Lessons 13-1 through 13-3
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Mid-Chapter Quiz: Lessons 13-1 through 13-3
Find the exact value of each expression.
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Mid-Chapter Quiz: Lessons 13-1 through 13-3 Find the exact value of each expression.
sin (
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Mid-Chapter Quiz: Lessons 13-1 through 13-3
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Mid-Chapter Quiz: Lessons 13-1 through 13-3
MULTIPLE CHOICE What is the exact value of
?
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Mid-Chapter Quiz: Lessons 13-1 through 13-3
MULTIPLE CHOICE What is the exact value of
?
F G H J
So, the right choice is H. H
Verify that cos 30 cos + sin 30 sin = sin 60 cos + cos 60 sin is an identity
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