The Unit Circle

Term Paper # 99639

Mathematics

The Unit Circle

This paper shows how the unit circle contributes to an easier understanding of trigonometry.

1,251 words () | 3 sources | MLA | 2005 United States

Paper Summary:

The paper defines the unit circle as a key instrument in learning about trigonometric functions, values and concepts. The paper lists the steps to making a unit circle and provides detailed examples and graphs.

Outline:
What is the Unit Circle?
How Do I Make a Unit Circle?
How To Find Coordinates
How To Find a Reference Angle
Negative Values
In Conclusion

From the Paper:

"Well, to first understand the Unit Circle, you must first understand basic graphing, because the Unit Circle is based off the circular graph x2 + y2 = 1. The Unit Circle is a circle whose values are counted counterclockwise starting from the point (1,0). Then the values- in degree and radian measure (don't worry all of this will be further explained later, so don't worry if your lost)- are used to solve trigonometry problems and equations. The values on the Unit Circle are used to find sine, cosine and tangent values as well as to find compliment and supplement angles. Overall, the Unit Circle is one of the most helpful things to know when doing the ever so complicated trigonometry. An easy was to think of the Unit Circle is that the Unit Circle is a box of primary colors, it's your red, blue and yellow. With this Unit Circle/primary color box you are able to make and understand all sorts of other colors and concepts."

Sample of Sources Used:

Cohen, David. Precalculus: With Unit Circle Trigonometry. New York: Brooks Cole, 2005.
Hua, Luogeng. Starting With the Unit Circle. New York: Springer, 1981.
Simon, Barry. Orthogonal Polynomials On The Unit Circle. New York: American Mathematical Society Colloquium Publications, 2005.