Geometry Assignment: Graphing the Cosine Function
In this assignment you will be generating the graph of the cosine curve. To do this, you should go through the same process we used to generate the sine and the tangent curves.
1. Using your calculator, complete the table below for the function y = cos x. Find the corresponding y-values rounded to the nearest thousandth.
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x
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0o
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30o
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60o
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90o
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120o
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150o
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180o
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210o
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240o
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270o
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300o
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330o
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360o
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y
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x
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0o
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-30o
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-60o
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-90o
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-120o
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-150o
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-180o
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-210o
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-240o
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-270o
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-300o
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-330o
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-360o
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y
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2. Plot all the points from the table on the graph below. Draw the curve.
3. Answer the following questions.
a. What is the domain?
b. What is the range?
c. What is the y-intercept?
d. What are the x-intercepts?
4. Also, answer the following questions as you compare the sine and cosine curves.
a. How are the sine and cosine curves similar?
b. How are the sine and cosine curves different?
**Although it is expected that you use a calculator to generate the values, your graph should NOT be done with a graphing utility. Be sure to show all points generated and the curve that connects them.