# Creating Graphs of Sine, Cosine, and Tangent from a Unit Circle

Subject
Resource Type
Product Rating
4.0
7 Ratings
File Type

PDF (Acrobat) Document File

372 KB|9 pages
Share
Also included in:
1. This bundle included four products from my store:- Graphs of Sine, Cosine, and Tangent from a Unit Circle- Building a Unit Circle- Unit Circle and Graph of Six Trigonometric Functions- Folding a Unit Circle
\$13.50
\$12.15
Save \$1.35
Product Description

This non-calculator activity will engage the students in creating the graphs for y = sin r,

y = cos r and y = tan r from the unit circle for values of 0 ≤ r ≤ 2π.

• To graph the function y = sin r students are given a unit circle (divided into sixteen parts to match with π/6, π/3, π/4, π/2, etc) adjacent to an rx plane. Using the value of r and the x coordinate for each point on the unit circle, students create a graph of thirteen points on y = sin r. They are then asked to draw a smooth curve through the thirteen points.

• To graph the function y = cos r students are given a unit circle (divided into sixteen parts to match with π/6, π/3, π/4, π/2, etc) adjacent to an rx plane. Using the value of r and the y coordinate for each point on the unit circle, students create a graph of thirteen points on y = cos r. They are then asked to draw a smooth curve through the thirteen points.

• To graph the function y = tan r students are given a unit circle (divided into sixteen parts to match with π/6, π/3, π/4, π/2, etc) adjacent to an rx plane. Using the value of r and the quotient of the y coordinate and the x coordinate for each point on the unit circle, students create a graph of thirteen points on y = tan r. They are then asked to draw a smooth curve through the thirteen points. Students observe that this graph is not a continuous graph. There is asymptotic behavior at π/2 and 3π/2.

Great discovery activity!

This is a great resource!

Total Pages
9 pages
Included
Teaching Duration
N/A
Report this Resource to TpT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TpT’s content guidelines.

Teachers Pay Teachers is an online marketplace where teachers buy and sell original educational materials.