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Someone wanna explain a Unit Circle to me?

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The.Man
Posts: 212 - Karma: 249
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)
Sep 14 2011 6:30PM
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1337
Posts: 31038 - Karma: 29,002
well 8pi/4 is the same as pi/2 which is 180ยบ
Sep 14 2011 6:33PM
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ryantheconnolly
Posts: 2027 - Karma: 108
Click for larger image

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
Sep 14 2011 6:34PM
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The.Man
Posts: 212 - Karma: 249
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
Sep 14 2011 6:34PM
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J.M
Posts: 2854 - Karma: 254
this. just pay attention to everything inside the circle. just the angles and the fractions with pi
Sep 14 2011 6:36PM
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.Capn.
Posts: 1454 - Karma: 152
nope
Sep 14 2011 6:37PM
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marsland
Posts: 3150 - Karma: 421
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
Sep 14 2011 6:40PM
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The.Man
Posts: 212 - Karma: 249
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.
Sep 14 2011 6:45PM
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ChristianJames
Posts: 214 - Karma: 19
try google before newschoolers... seriously
Sep 14 2011 6:48PM
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ryantheconnolly
Posts: 2027 - Karma: 108
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
Sep 14 2011 6:50PM
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Uncle.Badness
Posts: 2545 - Karma: 55
just use the 30 60 90 triangle and the 45 45 90 triangle to find the exact value.
Sep 14 2011 6:51PM
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1337
Posts: 31038 - Karma: 29,002
FUCK FUCK FUCK THIS IS WRONG


AHHHHHHH


its 360, because it 2pi, not 1/2 pi. FAIL
Sep 14 2011 6:52PM
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Style+eeze
Posts: 6901 - Karma: 551
I'm pretty sure he doesn't...?
Sep 14 2011 7:27PM
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soulskier
Posts: 17805 - Karma: 3,821
unit circle is this chart/concept that you learn for about two weeks, then you discard it from your memory banks
Sep 14 2011 7:31PM
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Style+eeze
Posts: 6901 - Karma: 551
Facebook says Harvard Summer School...

There's a difference. I'm pretty sure Jamie is still a senior in H.S.?
Sep 14 2011 7:32PM
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JeremyB
Posts: 629 - Karma: 30

Unit circle is a myth.

Sep 14 2011 7:54PM
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1337
Posts: 31038 - Karma: 29,002
Freshman at a local CC for a year, then transferring up to become a freshman at a 4 year engineering school
Sep 14 2011 7:56PM
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gotti
Posts: 4269 - Karma: 4,548
Simplest shit ever.

Just look at the damn circle and all the answers are on it.
Sep 14 2011 7:58PM
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J.M
Posts: 2854 - Karma: 254
where at?
Sep 14 2011 8:06PM
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Style+eeze
Posts: 6901 - Karma: 551
Yup. Good luck bro!
Sep 14 2011 8:22PM
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airic
Posts: 720 - Karma: 16

Sep 14 2011 8:30PM
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