Someone wanna explain a Unit Circle to me?

The.Man

The.Man

Member
Okay, here's the deal. I'm in calc, and we're reviewing last years stuff. Problem is, my teacher didn't really go over the Unit Circle at all. So, someone wanna give it a breakdown, specifically on how to evaluate trig expressions?

like sin (8pi / 4)
 
alg2_radians.gif


values in radians are matched with their equivalent value in degrees. 8pi/4 simplifies to 2pi. 2pi is 360 degrees, now find the sin of 360
 
wow SHIT. For some reason it cut off the rest of my post. That was just an example I made up off of the top of my head. But the complex ones like 21pi over something. where it's all like, bitch find my reference angle n shit
 
this. just pay attention to everything inside the circle. just the angles and the fractions with pi
 
wrong. for the ones with higher numbers, like say 21 pi/3, it goes back to 0 after every 2 cycles so at 6, 12, 18 it would be the same as 0pi/3. so 21pi/3 is 180 degrees. as for the values you have to learn those on your own. pi/3 is 60 degrees so you can make a triangle and have the hypotenuse be length 1, then use sohcahtoa to figure out the sin(y value) can cos(x value) of the angle.

not the best way of explaining it but i gave it a shot
 
I mean, it's hard to explain. I mean like when you have the in depth ones, where you have to calculate how many times it went around the circle. HOW.
 
lets take 21pi/3 like she said. you can use reducing and shit and then its just 7 pi. every 2pi is one full rotation around the circle. so theres 7/2= 3.5 rotations. now go tell your friends you stomped a double cork 7pi
 
FUCK FUCK FUCK THIS IS WRONG

AHHHHHHH

its 360, because it 2pi, not 1/2 pi. FAIL
 
unit circle is this chart/concept that you learn for about two weeks, then you discard it from your memory banks
 
Freshman at a local CC for a year, then transferring up to become a freshman at a 4 year engineering school
 
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