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McKeague and Turner - Trigonometry 8/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 9 / 23

Due : Sunday, January 27, 2030 00:00 EST

Last Saved : n/a Saving...  ()

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Question
Points
1 2 3 4 5 6 7 8 9 10
1/1 0/4 –/2 1/1 0/6 1/1 2/2 –/2 2/2 2/2
Total
9/23 (39.1%)

  • Instructions

    Trigonometry, 8th edition, by Charles McKeague and Mark Turner, published by Cengage Learning, continues to provide students and instructors with sound, consistently structured explanations of the mathematical concepts. Designed for a one-term course that prepares students to study calculus, the new edition retains the features that have made Trigonometry a complete solution for both students and instructors: interesting applications, cutting-edge design, and innovative technology combined with carefully written exercises. The WebAssign component for this title features an eBook, lecture videos, and a Course Pack of ready-made assignments.

    Question 1 demonstrates the ability to grade a comma-separated list of answers using the calcPad.

    Question 2 features calcPad answer blanks that allow the student to enter any answers that are mathematically equivalent to the key.

    Question 3 illustrates the ability to grade ordered pairs using the calcPad. The question includes a Watch It.

    Question 4 utilizes the calcPad and grades answers that include a defined arbitrary integer. The question includes a Watch It.

    Question 5 demonstrates how the calcPad can be used to grade a variety of answers. Here, some answers are only graded as correct if they are mathematically equivalent to the key and contain no trigonometric functions. For two of the answers, students are required to enter the word UNDEFINED. While the key is displayed using all uppercase letters, the grading for these word answers allows the student to enter uppercase letters, lowercase letters, or a combination.

    Question 6 illustrates some very special grading techniques that allow the student to give any mathematically correct answer that complies with the problem instructions. That is, it must be a product and it must be simplified to use only sin and/or cos.

    Question 7 features the ability to grade factored answers. The grading will allow the student to enter any correctly factored mathematically equivalent expression.

    Question 8 shows a problem that requires the student to do very specific things to a rational expression and enter the resulting rational expression. The grading here has been specially designed to accommodate the requirements of this problem.

    Question 9 has many interesting features. For each answer, the student is required to enter a comma-separated list of answers. The first answer also requires the use of an arbitrary integer, and both answers require the use of the degree symbol. The specially designed grading allows the student to enter mathematically correct responses.

    Question 10 features the ability to grade entire equations in a single calcPad answer blank. Here, any mathematically equivalent expression involving only the variables x and y will be graded as correct. The question includes a Watch It. This demo assignment allows many submissions and allows you to try another version of the same question for practice wherever the problem has randomized values.

Assignment Submission

For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer.

Assignment Scoring

Your last submission is used for your score.

1. 1/1 points  |  Previous Answers McKTrig8 1.1.052. My Notes
Question Part
Points
Submissions Used
1
1/1
5/5
Total
1/1
 
Find the remaining sides of a 30°-60°-90° triangle if the longest side is 3. (Enter your answers as a comma-separated list.)
$$32​, 3√32​
Correct: Your answer is correct.
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2. 0/4 points  |  Previous Answers McKTrig8 1.1.074. My Notes
Question Part
Points
Submissions Used
1 2 3 4
0/1 0/1 0/1 0/1
5/5 5/5 5/5 5/5
Total
0/4
 
Rectangle ACEF shown in the figure is a golden rectangle. It is constructed from square ACDB by holding line segment OB fixed at point O and then letting point B drop down until OB aligns with CD. The ratio of the length to the width in the golden rectangle is called the golden ratio. Find the lengths below to arrive at the golden ratio. (Let
a = 1.)
(a) Find the length of OB.
OB =
$$5a2
Incorrect: Your answer is incorrect.

(b) Find the length of OE.
OE =
$$3a
Incorrect: Your answer is incorrect.

(c) Find the length of CE.
CE =
$$4a
Incorrect: Your answer is incorrect.

(d) Find the ratio
CE
EF
.

CE
EF
 =
$$2
Incorrect: Your answer is incorrect.
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3. –/2 points McKTrig8 1.2.057. My Notes
Question Part
Points
Submissions Used
1 2
–/1 –/1
0/5 0/5
Total
–/2
 
Use the graph of
x2 + y2 = 36
 to name the points at which the line
x + y = 6
 will intersect the circle
x2 + y2 = 36.

(x, y) = 
    		(smaller x-value)
(x, y) = 
    		(larger x-value)

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4. 1/1 points  |  Previous Answers McKTrig8 1.2.086. My Notes
Question Part
Points
Submissions Used
1
1/1
2/5
Total
1/1
 
Find all angles that are coterminal with the given angle. (Let k be an arbitrary integer.)
170°
170+k360
Correct: Your answer is correct. °

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5. 0/6 points  |  Previous Answers McKTrig8 1.3.013. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6
0/1 0/1 0/1 0/1 0/1 0/1
1/5 1/5 1/5 1/5 1/5 1/5
Total
0/6
 
Find all six trigonometric functions of θ if the given point is on the terminal side of θ. (If an answer is undefined, enter UNDEFINED.)
(0, −2)
sin θ
 		=
312
Incorrect: Your answer is incorrect.
cos θ
 		=
23
Incorrect: Your answer is incorrect.
tan θ
 		=
65
Incorrect: Your answer is incorrect.
csc θ
 		=
r23
Incorrect: Your answer is incorrect.
sec θ
 		=
23
Incorrect: Your answer is incorrect.
cot θ
 		=
32
Incorrect: Your answer is incorrect.
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6. 1/1 points  |  Previous Answers McKTrig8 1.5.027. My Notes
Question Part
Points
Submissions Used
1
1/1
1/5
Total
1/1
 
Write the following in terms of sin θ and cos θ; then simplify if possible. (Leave your answer in terms of sin θ and/or cos θ.)
sin θ cot θ + 7 cos θ
8cos(θ)
Correct: Your answer is correct.
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7. 2/2 points  |  Previous Answers McKTrig8 5.1.009. My Notes
Question Part
Points
Submissions Used
1 2
1/1 1/1
1/5 1/5
Total
2/2
 
Factor each expression completely.
(a)    
x2 − y2

(x−y)(x+y)
Correct: Your answer is correct.

(b)    
cos2 θ − sin2 θ

(cos(θ)+sin(θ))(cos(θ)−sin(θ))
Correct: Your answer is correct.
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8. –/2 points McKTrig8 5.1.011. My Notes
Question Part
Points
Submissions Used
1 2
–/1 –/1
0/5 0/5
Total
–/2
 
Multiply the numerator and denominator of the fraction by the conjugate of the denominator, and then simplify. (Write your answer to part (b) in terms of sine and/or cosine.)
(a)    
1
1 + 
3



(b)    
1
1 + cos x

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9. 2/2 points  |  Previous Answers McKTrig8 6.1.017. My Notes
Question Part
Points
Submissions Used
1 2
1/1 1/1
2/5 2/5
Total
2/2
 
Solve the equation for all degree solutions and if
0° ≤ θ < 360°.
 Do not use a calculator. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
2 sin θ =
3
(a) all degree solutions (Let k be any integer.)
θ =
60°+k360°, 120°+k360°
Correct: Your answer is correct.

(b)    0° ≤ θ < 360°
θ =
60°,120°
Correct: Your answer is correct.
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10. 2/2 points  |  Previous Answers McKTrig8 6.4.021. My Notes
Question Part
Points
Submissions Used
1 2
1/1 1/1
1/5 4/5
Total
2/2
 
Eliminate the parameter t from the following.
x = 2 + sin t, y = 3 + cos t
(x−2)2+(y−3)2=1
Correct: Your answer is correct.

Sketch the graph of the plane curve.

Correct: Your answer is correct.

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