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Larson - Trigonometry 11/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 8 / 23

Due : Sunday, January 27, 2030 23:59 EST

Last Saved : n/a Saving...  ()

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Question
Points
1 2 3 4 5 6 7 8 9 10 11 12
1/1 1/1 1/1 –/2 1/1 1/1 2/6 –/1 –/3 –/4 1/1 0/1
Total
8/23 (34.8%)

  • Instructions

    Engage your students and prepare them for success in your course and beyond with the student-focused approach of Ron Larson and WebAssign in Trigonometry, 11th edition. Developed through learning design principles, Larson removes barriers to learning and offers a carefully planned and inclusive experience for all students. Students facing readiness gaps will overcome them with new "Review & Refresh" exercises, Skills Refresher videos, and more.

    Question 1 enforces that the answer is written as a complex number and includes a Master It, a Watch It, and a solution.

    Question 2 grades all solutions written as a list. The prompt alerts the student to enter a comma-separated list of answers.

    Question 3 contains expression grading where any equivalent form of the expression is accepted. Also included are a Master It tutorial, Watch It, and solution.

    Question 4 demonstrates grading for factored expressions in the first answer blank. Also included are a Master It tutorial, Watch It, and solution.

    Question 5 highlights grading used for an expanded logarithm per the question instructions.

    Question 6 shows one of many prompts used to indicate to the student what to enter when there is no answer.

    Question 7 requires the evaluations of the trigonometric functions to be entered in simplest form.

    Question 8 features an image with a randomized value in addition to equation grading, which allows any equivalent form of the requested equation.

    Question 9 demonstrates the functionality of the expanded problem (EP) question type. Students are required to show their intermediate work before arriving at the final answer.

    Question 10 demonstrates one of the many ways proofs can be automatically graded.

    Questions 11 and 12 are examples of Review and Refresh exercises found at the end of each section. These exercises will help the student reinforce previously learned skills and concepts and to prepare for the next section. 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.

    The answer key and solutions will display after the first submission for demonstration purposes. Instructors can configure these to display after the due date or after a specified number of submissions.

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 LarTrig11 4.1.018.MI. My Notes
Question Part
Points
Submissions Used
1
1/1
2/100
Total
1/1
 
Perform the operation and write the result in standard form. (Simplify your answer completely.)
(4 − 5i)(3 − 2i)
2−23i
Correct: Your answer is correct. webMathematica generated answer key


Solution or Explanation
(4 − 5i)(3 − 2i) = 12 − 8i − 15i + 10i2
 = 12 − 23i − 10 = 2 − 23i

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2. 1/1 points  |  Previous Answers LarTrig11 P.6.020. My Notes
Question Part
Points
Submissions Used
1
1/1
2/100
Total
1/1
 
Find the zeros of the function algebraically. (Enter your answers as a comma-separated list.)
f(x) = 9x3 − 63x2 − x + 7
x =
−13​,13​,7
Correct: Your answer is correct. webMathematica generated answer key
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3. 1/1 points  |  Previous Answers LarTrig11 P.8.050.MI. My Notes
Question Part
Points
Submissions Used
1
1/1
1/100
Total
1/1
 
Write an equation for the function whose graph is described.
the shape of
f(x) = |x|,
 but shifted eight units to the left and nine units down
g(x) =
|x+8|−9
Correct: Your answer is correct. webMathematica generated answer key


Solution or Explanation
f(x) = |x| moved 8 units to the left and 9 units down.
g(x) = |x + 8| − 9

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4. –/2 points LarTrig11 4.2.038.MI. My Notes
Question Part
Points
Submissions Used
1 2
–/1 –/1
0/100 0/100
Total
–/2
 
Write the polynomial as the product of linear factors.
g(x) = x2 + 10x + 18
g(x) =
List all the zeros of the function. (Enter your answers as a comma-separated list. Enter all answers using the appropriate multiplicities.)
x =

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5. 1/1 points  |  Previous Answers LarTrig11 5.3.049. My Notes
Question Part
Points
Submissions Used
1
1/1
1/100
Total
1/1
 
Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume all variables are positive.)
ln xyz6
ln(x)+ln(y)+6ln(z)
Correct: Your answer is correct. webMathematica generated answer key
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6. 1/1 points  |  Previous Answers LarTrig11 1.4.046. My Notes
Question Part
Points
Submissions Used
1
1/1
1/100
Total
1/1
 
Evaluate the trigonometric function of the quadrant angle. (If an answer is undefined, enter UNDEFINED.)
tan
− 
π
2
Correct: Your answer is correct. seenKey

UNDEFINED
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7. 2/6 points  |  Previous Answers LarTrig11 1.3.007. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6
0/1 0/1 1/1 0/1 0/1 1/1
1/100 1/100 1/100 1/100 1/100 1/100
Total
2/6
 
Find the exact values of the six trigonometric functions of the angle θ shown in the figure.
sin(θ) =
9√2
Incorrect: Your answer is incorrect. webMathematica generated answer key
cos(θ) =
9√2
Incorrect: Your answer is incorrect. webMathematica generated answer key
tan(θ) =
1
Correct: Your answer is correct. webMathematica generated answer key
csc(θ) =
√218​
Incorrect: Your answer is incorrect. webMathematica generated answer key
sec(θ) =
√218​
Incorrect: Your answer is incorrect. webMathematica generated answer key
cot(θ) =
1
Correct: Your answer is correct. webMathematica generated answer key
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8. –/1 points LarTrig11 1.8.048. My Notes
Question Part
Points
Submissions Used
1
–/1
0/100
Total
–/1
 
A buoy oscillates in simple harmonic motion as waves go past. The buoy moves a total of 4.5 feet from its low point to its high point (see figure), and it returns to its high point every 8 seconds. Write an equation that describes the motion of the buoy if its high point is at t = 0, in terms of its height h.


4.5 ft

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9. –/3 points LarTrig11 1.1.051.EP. My Notes
Question Part
Points
Submissions Used
1 2 3
–/1 –/1 –/1
0/100 0/100 0/100
Total
–/3
 
Consider an arc on a circle of radius r intercepted by a central angle θ.
r = 24 inches,  θ = 240°
Convert 240° to exact radian measure.
240° =
rad
Find the exact length (in inches) of the arc.
in
Give a decimal approximation for the length (in inches) of the arc. (Round your answer to two decimal places.)
in
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10. –/4 points LarTrig11 2.2.017. My Notes
Question Part
Points
Submissions Used
1 2 3 4
–/1 –/1 –/1 –/1
0/100 0/100 0/100 0/100
Total
–/4
 
Verify the identity algebraically. Use the table feature of a graphing utility to check your result numerically. (Simplify at each step.)
1 + sin(θ)
cos(θ)
 + 
cos(θ)
1 + sin(θ)
 = 2 sec(θ)
1 + sin(θ)
cos(θ)
 + 
cos(θ)
1 + sin(θ)
 = 
1+sin(θ)
2
 
 + cos2(θ)
cos(θ)(1 + sin(θ))
 
 = 
1+2sin(θ)
 + sin2(θ) + cos2(θ)
cos(θ)(1 + sin(θ))
 
 = 
2 + 2
sin(θ)
cos(θ)(1 + sin(θ))
 
 = 
2
cos(θ)(1 + sin(θ))
 
 = 
2
cos(θ)
 
 = 2 sec(θ)
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11. 1/1 points  |  Previous Answers LarTrig11 1.8.062. My Notes
Question Part
Points
Submissions Used
1
1/1
1/100
Total
1/1
 
Factor the expression.
−2x2 + 11x − 15
(−2x +5)(x−3)
Correct: Your answer is correct. webMathematica generated answer key
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12. 0/1 points  |  Previous Answers LarTrig11 2.4.111. My Notes
Question Part
Points
Submissions Used
1
0/1
1/100
Total
0/1
 
Solve the equation. (Enter your answers as a comma-separated list. Use n as an arbitrary integer. Enter your response in radians.)
7 cos(3x) = 0
x =
7
Incorrect: Your answer is incorrect. webMathematica generated answer key
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