Expert answer:Graphing Cosine and Contangent functions

Answer & Explanation:The assignment is in the link.Graphing Cosine and Contangent functions
trig__graphing_cosine_and_contangent_functions.doc

trig__graphing_cosine_and_contangent_functions.doc

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Assignment: Graphing the Cosine Function
1. Complete the table for f(x) = cos(x).
x
−2π
3
− π
2
−π
−
π
2
0
π
2
π
cos (x)
2. Graph the two periods of the cosine function from the table above.
3. Write a description of the following properties of the graph of the cosine function.
a. Domain of f(x) = cos(x)
b. Range of f(x) = cos(x)
c. Period of f(x) = cos(x)
d. The x-intercepts of f(x) = cos(x)
e. The y-intercept of f(x) = cos(x)
f. Maximum and minimum values of f(x) = cos(x)
3
π
2
2π
Graphing the Cotangent Function
1. Complete the table for f(x) = cot(x).
x
−π
3
− π
4
−
π
2
−
π
4
0
π
4
π
2
3
π
4
π
cot (x)
2. Graph the three periods of the cotangent function from the table above.
3. Write a description of the following properties of the graph of the cotangent function.
a. Domain of f(x) = cot(x)
b. Range of f(x) = cot(x)
c. Period of f(x) = cot(x)
d. The x-intercepts of f(x) = cot(x)
5π
4
3π
2
7π
4
2π
e.They-intercept of f(x) = cot(x)
f. Asymptotes of f(x) = cot(x)
Assignment: Graphing the Cosine Function
1. Complete the table for f(x) = cos(x).
x
−2π
3
− π
2
−π
−
π
2
0
π
2
π
cos (x)
2. Graph the two periods of the cosine function from the table above.
3. Write a description of the following properties of the graph of the cosine function.
a. Domain of f(x) = cos(x)
b. Range of f(x) = cos(x)
c. Period of f(x) = cos(x)
d. The x-intercepts of f(x) = cos(x)
e. The y-intercept of f(x) = cos(x)
f. Maximum and minimum values of f(x) = cos(x)
3
π
2
2π
Graphing the Cotangent Function
1. Complete the table for f(x) = cot(x).
x
−π
3
− π
4
−
π
2
−
π
4
0
π
4
π
2
3
π
4
π
cot (x)
2. Graph the three periods of the cotangent function from the table above.
3. Write a description of the following properties of the graph of the cotangent function.
a. Domain of f(x) = cot(x)
b. Range of f(x) = cot(x)
c. Period of f(x) = cot(x)
d. The x-intercepts of f(x) = cot(x)
5π
4
3π
2
7π
4
2π
e.They-intercept of f(x) = cot(x)
f. Asymptotes of f(x) = cot(x)
…
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