Extra Credit
Class ID: ____ Name: __________________________ Score: ________
DUE: MONDAY, NOVEMBER 4, 2013 BY 8:35AM
Math 1080 – 002 Fall 2013
Instructor: Katrina Johnson
Complete this exercise for a maximum of 20 points. This assignment will be counted
toward the quiz portion of your grade. I will not accept late submission for any
reason.
Purpose:
Use the unit circle to graph the sine and cosine functions.
You will need:
2 colors of spaghetti
Glue
Unit Circle page provided
Coordinate Axis page provided
Instructions:
1. Measure and mark with a pen or pencil on the Coordinate Axis each of the
π π π π 2π 3π 5π
7π 5π
, , , ,
,
,
, π,
,
, ...). Make your
6 4 3 2 3 4
6
6
4
measurements with respect the π marked on the provided coordinate axis
basic angles (
page.
2. Choose one color of spaghetti for the sine (and another for the cosine).
€
3. For each of the basic angles,
measure and break a piece of spaghetti the
€
length of the sin θ (or cosθ ). Remember sin θ is the y-coordinate of the
point where the angle θ intersects the unit circle (and cosθ is the xcoordinate).
4. Glue €
the spaghetti
to the coordinate
axis at the corresponding θ (make sure
€
€
that positive€
values of sin θ (or cosθ ) are measure
above the θ -axis and
€
negative values below the θ -axis.
5. Repeat steps 2-4 for the cosθ .
€
6. Make sure to €
include a €
key for which color of spaghetti
€ is sin θ and which is
the cosθ .
€
7. Make sure that your
€ work is neat, organized and legible. (Part of the grade
will be given for presentation.)
€
8.
Make
sure
that
you
have
included
your
Name
and
Class ID when you submit
€
your work.
Refer to the picture for an example of what a completed exercise might look
like.