AnswersPrecalculusModeling with Trigonometric Expressions and Functions: Part One

Practice Test Answers

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1
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What does the amplitude of this function represent?

A
the length of the pipe
B
the difference between the maximum and minimum distances from the tip of the pipe to the farmhouse
C
the time it takes for the pipe to complete one full circle
D
the distance between the tower and the farmhouse
2
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Which graph represents y is equal to cosine of open paren 2 x minus pi close paren plus 5 ?

A
Image with description On a coordinate plane, a function has a maximum of 7 and minimum of 3. It completes one period at 2 pi. It crosses the y-axis at (0, 3).
B
Image with description On a coordinate plane, a function has a maximum of 6 and minimum of 4. It completes one period at pi. It crosses the y-axis at (0, 4).
C
Image with description On a coordinate plane, a function has a maximum of 7 and minimum of 3. It completes one period at 2 pi. It decreases through the y-axis at (0, 5).
D
Image with description On a coordinate plane, a function has a maximum of 6 and minimum of 4. It completes one period at pi. It decreases through the y-axis at (0, 5).
3

Let cotangent of x is equal to 5 eighths , with 0 is less than x comma x is less than 90 degrees What is sine of x ?

A
the fraction with numerator 8 and denominator square root of 89
B
the fraction with numerator square root of 89 and denominator 8
C
the fraction with numerator square root of 89 and denominator 5
D
the fraction with numerator 5 and denominator square root of 89
6

Which graph represents the function y is equal to cosine of 4 x ?

A
Image with description On a coordinate plane, a function has a maximum at 1 and minimum at negative 1. It completes one period at pi. It crosses the y-axis at (0, 0).
B
Image with description On a coordinate plane, a function has a maximum at 1 and minimum at negative 1. It completes one period at StartFraction pi Over 2 EndFraction. It crosses the y-axis at (0, 0).
C
Image with description On a coordinate plane, a function has a maximum at 1 and minimum at negative 1. It completes one period at StartFraction pi Over 2 EndFraction. It crosses the y-axis at (0, 1).
D
Image with description On a coordinate plane, a function has a maximum at 1 and minimum at negative 1. It completes one period at pi. It crosses the y-axis at (0, 1).
7

Which is equal to negative 214 degrees ?

A
negative 107 pi over 180 radians
B
negative 107 pi over 50 radians
C
negative 107 pi over 45 radians
D
negative 107 pi over 90 radians
10

What is the length of the hypotenuse in the triangle? Expand Image

A
14 square root of 2 cm
B
14 square root of 3 cm
C
14 cm
D
28 cm
11

Which of the following are in correct order from greatest to least?

A
pi over 2 , 2 pi over 3 , 7 pi over 6 , 5 pi over 3 , 330 degrees
B
330 degrees , 5 pi over 3 , 7 pi over 6 , 2 pi over 3 , pi over 2
C
pi over 2 , 330 degrees , 5 pi over 3 , 7 pi over 6 ' 2 pi over 3
D
5 pi over 3 , 7 pi over 6 , 2 pi over 3 , pi over 2 , 330 degrees
12

Which values for theta have the same reference angles?

A
pi over 6 , pi over 3 , 5 pi over 6
B
pi over 3 , 5 pi over 6 , 4 pi over 3
C
pi over 4 , 3 pi over 4 , 7 pi over 4
D
pi over 2 , 5 pi over 4 , 7 pi over 4
13

Based on the graph, what are the domain and range of the sine function?

A
domain: left bracket negative 1 comma 1 right bracket ; range: left bracket 0 comma 2 pi right bracket
B
domain: open paren negative infinity comma infinity close paren ; range: left bracket negative 1 comma 1 right bracket
C
domain: left bracket 0 comma 2 pi right bracket ; range: left bracket negative 1 comma 1 right bracket
D
domain: left bracket negative 1 comma 1 right bracket ; range: open paren negative infinity comma infinity close paren
14

On a unit circle, the vertical distance from the x -axis to a point on the perimeter of the circle is twice the horizontal distance from the y -axis to the same point. What is sine theta ?

A
the fraction with numerator 2 square root of 5 and denominator 5
B
2
C
1 fifth
D
the fraction with numerator square root of 5 and denominator 5

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Practice Test Answers — Precalculus