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

Creating Graphs of Sine, Cosine, and Tangent from a Unit Circle
Creating Graphs of Sine, Cosine, and Tangent from a Unit Circle
Creating Graphs of Sine, Cosine, and Tangent from a Unit Circle
Creating Graphs of Sine, Cosine, and Tangent from a Unit Circle
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1 MB|9 pages
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  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
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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.

Comments from buyers:

Great discovery activity!

This is a great resource!
Total Pages
9 pages
Answer Key
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