Monday, October 27, 2014

Sine and cosine functions

We learned how to deal with sine and cosine fuction this week. The sine and cosine are the two most prominent trigonometric functions. All of other trig functions can be expressed in terms of them. The sine theta is the vertica coordinate of the arc endpoint, and the cosine theta is the horizontal coordinate. 

Friday, October 3, 2014

10/3 What I learned this week: rational function

This week we learned "real zeros of polynomial functions", "approximating real zeros", and "rational functions". Among those new materials, the rational function is the most memorable and abstruse to me. The rational function is a function that one is divided by the other to form a ratio of two polynomials. In order to graph a rational function, it requires the vertical and horizontal asymptotes. For vertical asymptotes, just simply set the denominator of the function equal to zero and solve. For the horizontal asymptotes, it is more complicated. You have to find n^th and m^th degree of the polynomial and according to different conditions, the answer varies.