Writing Assignment: Graphing the Cosine Function

Project instructions:

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.

Using your calculator, make a table including x = 0, ten positive x-values (increments of 30 degrees) and ten negative x-values. Find the corresponding y-values.
Plot all 21 of these points.
Draw the curve.
Answer the following questions:
What is the domain?
What is the range?
What is the y-intercept?
What are the x-intercepts?
Also, answer the following questions as you compare the sine and cosine curves.
How are the sine and cosine curves similar?
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.

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 belowfor the function y = cos x. Find the corresponding yvalues rounded to the nearest thousandth.
x 0° 30° 60° 90° 120° 150° 180° 210° 240° 270° 300° 330° 360°
y
x 0° -30° -60° -90° -120° -150° -180° -210° -240° -270° -300° -330° -360°
y
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.

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