Unformatted text preview: Geometry
Written Assignment: Graphing the Cosine Function
Total Points = 50
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 yvalues rounded to the nearest thousandth.
y 0° 1 x
y 60° 0.8660 0.5 0° 1 30° -30° 90° 0.8660 0.5 -0.5 0 -60° -90° 0 120° -120° -0.5 150° 180° -0.8660 -1 -150° -180° -0.8660 -1 210° 240° -0.8660 -0.5 -210° 270° 0 -240° -0.8660 -0.5 2. Plot all the points from the table on the graph below. Draw the curve. 0.5 -270° 0 300° -300° 0.5 330° 360° 0.8660 1 -330° 0.8660 1 -360° 3. Answer the following questions:
a. What is the domain? There isn't any real numbers that makes this function undefined. The domain is then given as a function which are real n b. What is the range?
The range is for any of the real numbers of x which has a -1 to 1.
c. What is the y-intercept?
The y - intercept is when x is at cos 1, then y intercepts from the given function which equals 1 d. d. What are the x-intercepts?
The x - intercept is seen from above the graph, and this shows us the many values of the function of cos y, x so from the 4. Also, answer the following questions as you compare the sine and cosine curves.
a. How are the sine and cosine curves similar?
The way that they're similar is that both of the graph lies in the range of 1 and -1 of any of the x values. 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. ...
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