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Larson - Trigonometry: Right Triangle Approach 1/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 10 / 21

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
0/1 0/1 1/1 –/1 0/1 2/2 0/3 –/1 3/3 3/4 1/1 0/2
Total
10/21 (47.6%)

  • 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: A Right Triangle Approach, 1st edition. Developed through learning design principles, Larson removes barriers to learning and offers a carefully planned and inclusive experience for all students. Larson introduces trigonometric functions via the right triangle and presents concepts clearly, offering a wealth of learning support.

    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. Also included are a Master It tutorial, Watch It, and solution.

    Question 5 highlights the use of application problems that have a great variety of difficulty and complexity.

    Question 6 is a multi-part question that 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 sine, cosine, and tangent of the angle 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. 0/1 points  |  Previous Answers LarTrigRT1 6.1.030.MI. My Notes
Question Part
Points
Submissions Used
1
0/1
2/100
Total
0/1
 
Perform the operation and write the result in standard form. (Simplify your answer completely.)
(6 − 3i)(4 − 2i)
24
Incorrect: Your answer is incorrect. webMathematica generated answer key


Solution or Explanation
(6 − 3i)(4 − 2i) = 24 − 12i − 12i + 6i2
 = 24 − 24i − 6 = 18 − 24i

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2. 0/1 points  |  Previous Answers LarTrigRT1 A.6.020. My Notes
Question Part
Points
Submissions Used
1
0/1
1/100
Total
0/1
 
Find the zeros of the function algebraically. (Enter your answers as a comma-separated list.)
f(x) = 9x3 − 81x2 − x + 9
x =
{9}
Incorrect: Your answer is incorrect. webMathematica generated answer key
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3. 1/1 points  |  Previous Answers LarTrigRT1 A.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 seven units to the left and nine units down
g(x) =
|x + 7 | − 9
Correct: Your answer is correct. webMathematica generated answer key


Solution or Explanation
f(x) = |x| moved 7 units to the left and 9 units down.
g(x) = |x + 7| − 9

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4. –/1 points LarTrigRT1 4.1.026.MI. My Notes
Question Part
Points
Submissions Used
1
–/1
0/100
Total
–/1
 
Factor the expression. Use the fundamental identities to simplify, if necessary. (There is more than one correct form of each answer.)
2 sec3(x) − 2 sec2(x) − 2 sec(x) + 2

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5. 0/1 points  |  Previous Answers LarTrigRT1 1.4.027. My Notes
Question Part
Points
Submissions Used
1
0/1
1/100
Total
0/1
 
At a point 50 feet from the base of a castle, the angles of elevation to the bottom of a tower and the top of the tower are 35° and 49°, respectively. Find the height (in ft) of the tower. (Round your answer to one decimal place.)
Incorrect: Your answer is incorrect. seenKey

22.5

 ft

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6. 2/2 points  |  Previous Answers LarTrigRT1 1.1.021. My Notes
Question Part
Points
Submissions Used
1 2
1/1 1/1
1/100 1/100
Total
2/2
 
Find (if possible) the complement and supplement of the angle (in degrees). (If not possible, enter IMPOSSIBLE.)
49°
complement Correct: Your answer is correct. seenKey

41

 ° supplement Correct: Your answer is correct. seenKey

131

 °


Solution or Explanation
Complement: 90° − 49° = 41°
Supplement: 180° − 49° = 131°

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7. 0/3 points  |  Previous Answers LarTrigRT1 2.3.015. My Notes
Question Part
Points
Submissions Used
1 2 3
0/1 0/1 0/1
1/100 1/100 1/100
Total
0/3
 
Evaluate (if possible) the sine, cosine, and tangent at the real number t. (If an answer is undefined, enter UNDEFINED.)
t = 
5π
6
sin t =
√32​
Incorrect: Your answer is incorrect. webMathematica generated answer key
cos t =
−12​
Incorrect: Your answer is incorrect. webMathematica generated answer key
tan t =
−√3
Incorrect: Your answer is incorrect. webMathematica generated answer key
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8. –/1 points LarTrigRT1 3.PS.004. 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 7.5 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.


7.5 ft

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9. 3/3 points  |  Previous Answers LarTrigRT1 2.2.052.EP. My Notes
Question Part
Points
Submissions Used
1 2 3
1/1 1/1 1/1
1/100 1/100 1/100
Total
3/3
 
Consider an arc on a circle of radius r intercepted by a central angle θ.
r = 20 feet,  θ = 45°
Convert 45° to exact radian measure.
45° =
π÷4
Correct: Your answer is correct. webMathematica generated answer key rad
Find the exact length (in ft) of the arc.
5π
Correct: Your answer is correct. webMathematica generated answer key ft
Give a decimal approximation for the length (in ft) of the arc. (Round your answer to two decimal places.)
Correct: Your answer is correct. seenKey

15.71

 ft
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10. 3/4 points  |  Previous Answers LarTrigRT1 4.2.017. My Notes
Question Part
Points
Submissions Used
1 2 3 4
1/1 0/1 1/1 1/1
1/100 1/100 1/100 1/100
Total
3/4
 
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)
Correct: Your answer is correct. webMathematica generated answer key
2
 
 + cos2(θ)
cos(θ)(1 + sin(θ))
 
 = 
1 + sin(θ)
Incorrect: Your answer is incorrect. webMathematica generated answer key
 + sin2(θ) + cos2(θ)
cos(θ)(1 + sin(θ))
 
 = 
2 + 2
sin(θ)
Correct: Your answer is correct. webMathematica generated answer key
cos(θ)(1 + sin(θ))
 
 = 
2
1 + sin(θ)
Correct: Your answer is correct. webMathematica generated answer key
cos(θ)(1 + sin(θ))
 
 = 
2
cos(θ)
 
 = 2 sec(θ)
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11. 1/1 points  |  Previous Answers LarTrigRT1 1.3.062. My Notes
Question Part
Points
Submissions Used
1
1/1
1/100
Total
1/1
 
Solve for x in the right triangle.
  • leg lengths: 3.5, 24x
  • hypotenuse: 25x
x =
12​
Correct: Your answer is correct. webMathematica generated answer key
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12. 0/2 points  |  Previous Answers LarTrigRT1 2.4.069. My Notes
Question Part
Points
Submissions Used
1 2
0/1 0/1
2/100 1/100
Total
0/2
 
Use the graph to find any relative minima or maxima of the function. (If an answer does not exist, enter DNE.)
The x y-coordinate plane is given. The curve enters the window in the third quadrant, goes up and right becoming less steep, crosses the x-axis at x = −9, changes direction at the point (−8, 5), goes down and right becoming more steep, crosses the x-axis at x = −7, and exits the window in the third quadrant.
minimum
(x, y)
=
(−8,5)
Incorrect: Your answer is incorrect. webMathematica generated answer key
 
 maximum
(x, y)
=
DNE
Incorrect: Your answer is incorrect. webMathematica generated answer key
 
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