Sunday, November 15, 2009

Things I Understood =)

The Unit Circle
The Unit Circle is one of the things I learned will in my calculus class
* The first thing you need to know is that the "Unit Circle" is just a circle with a radius of 1. The center is put on a graph where the x axis and y axis cross



Like the radius is 1, you can get measure in sine, cosine and tangent



* When the angle, θ is 0°
cos=1, sin=0 and tan=0



* when θ is 90°
cos=0, sin=1 and tan is undefined



This is how the unit circle.



The another thing, I learned was the domain and range. The frist things I thing you should know is that most points, being a relationship between certain x's and certain y's, is a relation. The domain is all the x-values, and the range is all the y-values.


Here is a example of finding the domain and range:
  • {(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

Domain: {2, 3, 4, 6}
Range: {–3, –1, 3, 6}

I also learned the one-to-one function. A one to one function is a function in which every element in the range of the function corresponds with one and only one element in the domain.

Example of a one-to-one function:
{ (0,1) , (5,2), (6,4) }
Domain: 0, 5, 6
Range: 1,2, 4

Each element in the domain (0, 5, and 6) correspond with a unique element in the range. Therefore this function is a one-to-one function

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