1.Transformations:
I am actually shocked that some people come to me to ask for help in this class, i am also shocked that they ask me about how the transformations are....but i am the most shocked on that how, i actually understand transformations!!!. one tip that helps me to understand transformations is the "( )". when and equation is like, f(x)=(x-3) then the graph will shift to the left 3, compared to f(x)=x-3 where the graph will shift down 3. How "( )" helps me is that they go on the left and right of the equation so it tells me that the graph would either go left...or right! then if the equation has both like, f(x)=(x-3)-3, then the graph will go left 3, and down 3.
2. Trigonometry:
lets cut to the chase...its all about the Unit Circle. the unit circle is by far the most annoying math concept EVER!. the only way i know how to remember the unit circle is the was ms.hwang told us...in the 1st Q its Pi/6, Pi/4, Pi/3....to find the 2nd Q it would be the 1st Q but (-1), then in the 3rd Q its the 1st Q (+1), then in the 4th Q its the 1st Q 2x-1. and even though it sounds complicated that the only way i can memorize it and i still have to take awhile to do it. to be honest i kinda guessed on some of the answers for the quiz....and i got it right =]!, but i understand the points, by using angles to find the opposite side.
3. The Problems With Me:
here is what i cannot get... as u can tell...the unit circle...i need a faster more efficient way to memorize and understand it. another problem i am having is the cos-1, tan-1, etc. they confuse me to the point, where i will draw the same graph over and over....and just say they're different.
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Well the unit circle pattern is 6,4,3,2 then on the second quadrant it goes 3,4,6,2 then the third quadrant is 6,4,3,2 the fourth quadrant is 3,4,6,2 pretty simple some times. now knowing pi is kind of simple first quadrant they are all pi second quadrant pi is -1 of the denominator third is +1 of the denominator fourth quadrant is x2-1 of the denominator. The coordinates go (3/2, 1/2), (2/2, 2/2), (1/2, 3/2) now the order of the these coordinates are the same as pi but they follow the quadrant rules Q1(+,+) Q2(-,+) Q3(-,-) Q4(+,-).
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