14. SOLUTION: ANSWER: 15. COMPUTER The front of a computer monitor is usually measured along the diagonal of the screen as shown below. eSolutions Man...

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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

?

F G H Manual - Powered by Cognero eSolutions J

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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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