MTH044059 University of Nebraska Graphs of Sine and Cosine Questions Can you please complete and explain how to do this assignment? I am having trouble with graphing sine and cosine. Math | Graded Assignment | Checkup: Graphs of Sine and Cosine
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Date:
Graded Assignment
Checkup: Graphs of Sine and Cosine
Answer the following questions using what you’ve learned from this lesson. Write your responses in the
space provided, and turn the assignment in to your teacher.
For each problem below, complete the given table of values. Then sketch a graph that shows two complete
cycles.
1.
y = ? cos x (Hint: Find the value of cosine, then take its opposite.)
x
0
?
6
?
4
?
3
?
2
2?
3
3?
4
5?
6
?
7?
6
5?
4
4?
3
3?
2
5?
3
7?
4
11?
6
2?
13 ?
6
? cos x
X
? cos x
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Math | Graded Assignment | Checkup: Graphs of Sine and Cosine
2.
y = sin x + 1 (Hint: Find the value of sine, then add 1.) sin x + 1
x
0
?
6
?
4
?
3
?
2
2?
3
3?
4
5?
6
?
7?
6
5?
4
4?
3
3?
2
5?
3
7?
4
11?
6
2?
13 ?
6
sin x + 1
x
sin x + 1
3. What are the domain, range, and period of y = ? cos x (from the first problem)?
4. Using the definition of an even function, show that y = ? cos x is even.
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Math | Graded Assignment | Checkup: Graphs of Sine and Cosine
5. What are the domain, range, and period of y = sin x + 1 (from the second problem)?
6. Using the definitions of odd and even functions, explain why y = sin x + 1 is neither odd nor even.
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Copying or distributing without K12s written consent is prohibited.
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