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all right this is a question I get from my students a lot which is how do you fill out a unit circle in a really short amount of time about five minutes is usually what the teachers at school give you if this was a quiz in school so what we want to do is this jump right into the question a unit circle you want to know some basic things about it the question is how do you fill out all of these different parts without memorizing every single value there were a couple of tricks we can use the first thing we want to do is just know the base know the the pretty obvious ones the corners right here right here right here right here so what we want to know there is that this is always going to be 1 and 0 because this is the x-axis and this is X is 1 y 0 but this place is your y-axis so its 0 1 we know this is x-axis again but this time is on the left side so its negative 1 0 meaning its a 1 0 but the X is now negative and over here it is a 0 1 but the Y is now negative as well so pretty much