13+The+Unit+Circle

=//The Unit Circle// =

__The Godly Unit Circle__


__**Summary**__: The unit circle is one of the most well-known and useful applications in the world of mathematics. The job of the unit circle is to make other parts of math easy. The unit circle is a circle featuring a radius 1, and in trigonometry the unit circle is centered at the origin. The unit circle lists points in degrees and radians in order to help better locate triangles that are being measured. It is very useful when trying to find angle data and side lengths of the triangles that are being measured. Other trig applications are often paired with the unit circle, such as SOH-CAH-TOA and Law of Sines. The unit circle puts certain parts of math in an easier perspective. In a unit circle sine and cosine are never valued above 1 or below -1, which keeps the problems easier for students. Along with that rule, tan can never be defined at certain points of the circle like a 90 degree angle. The unit circle is a fun and easy way to learn the fundamentals of Trig!

Examples:

1.) cos 330° = cos 30° = √3/2

2.) tan 150° = - tan 30° = -√3/3

3.) csc 4π/3 = 1/sin 4π/3 = - 1/sin π/3 = - 1/√3/2 = - 2/√3 = - 2√3/3

Links: http://www.mathsisfun.com/geometry/unit-circle.html

http://www.mathlearning.net/learningtools/Flash/unitCircle/unitCircle.html

http://www.regentsprep.org/Regents/math/algtrig/ATT5/unitcircle.htm

http://www.purplemath.com/modules/unitcirc.htm