1. Since I was a little girl Math has been my weakest subject in school, I have a hard time understanding Math topics. My study habits are not that good, I hardly take any time to study or check on my notes at home. For my tests or quizzes I only open my notebook and skim skam the information I need for the evaluation, but for Math test and quizzes a take a lot of time at home to study and do my homework to try to get a good grade but I hardly ever pass a test. I have a tutor that goes home twice a week to study with me a try to get me on a better shape to do well in Math. I know I have to change my study habits in order to be a better student in Math class.
2. I still have a hard time with factorization I don't know what method is more easy for me to use in order to learn this topic. The new topic that we are learning now about sine and cosine is very hardo for me to understand.
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In your question you stated that you have been having problems with the sine and cosine functions and graphs. These functions however, are really quite simple to understand. First of all you need to keep in mind that they are perdiodical, meaning they repeat themselves over and over again. This makes things simpler since you only need to know how the function behaves over a certain domain to completely understand how it behaves through all domains.The second reason they are simple to understand is because cosine and sine are so similar that you only need to know how one of them works in order to comprehend the behavior of both.
Lets look at the sine function. sine= y/r, r being the radius of the circle. The first thing we need to have in mind is that the range of the function is [-1,1] because it doesnt matter which Y you choose, r is always going to be equal or greater than Y. After you have grasped this concept the next step is to determine were sine is positive and were it's negative. Since the equation of sine = y/r then sine will be negative when y is negative, since r is always positive. In a cartisian plane, Y is negative on the two bottom quadrants, so all the angles found on those two bottom quadrants will always be negative.
Those two key concepts about the sine and cosine functions may seem very elementary but it is important that you really understand them, and once you do applying sine and cosine functions to graphs or equations will be much easier.
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