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Re: Anybody wish to explain to me, what are radians, and how do they work?

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Combrad is not online. Combrad
Joined: 18 Jul 2009
Total Posts: 11025
21 Dec 2011 02:15 AM
My maths teacher refuses to teach my about them he says 'you'd be at an unfair advantage to the rest of your class'

The fact that he didn't know asin, acos and atan were sin^-1 cos^-1 and tan^-1 was quite funny to.

Does this make me smarter than my teacher in some ways?

Anyway, if anybody will tell me. I would appreciate if you refer to degrees as I know how they work.

(Gradients to if thats possible.)
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BenBonez is not online. BenBonez
Joined: 29 Aug 2008
Total Posts: 19362
21 Dec 2011 02:27 AM
this thread obviously servers the purpose about you bragging about your knowledge
but if you had at least some common sense the first thing u would do is use a certain search engine and hit up ur question
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Combrad is not online. Combrad
Joined: 18 Jul 2009
Total Posts: 11025
21 Dec 2011 02:33 AM
Yeah, but there very detailed explanations, I want a simple brisk one.
No it was not, I seriously would like to know.
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Brandonhare is not online. Brandonhare
Joined: 02 May 2007
Total Posts: 11005
21 Dec 2011 02:35 AM
180 deg = pi rad
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BenBonez is not online. BenBonez
Joined: 29 Aug 2008
Total Posts: 19362
21 Dec 2011 02:40 AM
i agree with brandonhare
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sdfgw is not online. sdfgw
Top 50 Poster
Joined: 08 Jan 2009
Total Posts: 41681
21 Dec 2011 02:51 AM
asin is a programming abbbreviation of arcsin

odds are if you'd've told him what it was properly he'd know what you meant

also i agree with benbonez
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Combrad is not online. Combrad
Joined: 18 Jul 2009
Total Posts: 11025
21 Dec 2011 03:17 AM
So, 180º is 3.141592654...Radians?
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sdfgw is not online. sdfgw
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Joined: 08 Jan 2009
Total Posts: 41681
21 Dec 2011 03:19 AM
no

180º is pi radians

no need to flaunt pi to any number of decimal places when you can just say "pi" for a more exact value
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Combrad is not online. Combrad
Joined: 18 Jul 2009
Total Posts: 11025
21 Dec 2011 03:20 AM
But 180º is the same as pi in radians?
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sdfgw is not online. sdfgw
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Joined: 08 Jan 2009
Total Posts: 41681
21 Dec 2011 03:22 AM
from three different sources, that appears to be a TRUE MATHEMATICAL FACT
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oxcool1 is not online. oxcool1
Joined: 05 Nov 2009
Total Posts: 15444
21 Dec 2011 03:36 AM
[ Content Deleted ]
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Brandonhare is not online. Brandonhare
Joined: 02 May 2007
Total Posts: 11005
21 Dec 2011 03:46 AM
Basically radians are based on the circumference, unlike degrees which are arbitrary and have no reasonable basis.

360º = 2 * pi
Circumference of a circle = radius * 2 * pi


180º = pi
Half of the circumference of a circle = radius * pi


90º = pi/2
1/4 circumference = radius * pi / 2


Am I making sense?
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sdfgw is not online. sdfgw
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Joined: 08 Jan 2009
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21 Dec 2011 03:49 AM
my personal favourite definition is to imagine a sector with equal radius and arc length - the angle will be 1 radian.
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pighead10 is not online. pighead10
Joined: 03 May 2009
Total Posts: 10341
21 Dec 2011 04:00 AM
"My maths teacher refuses to teach my about them he says 'you'd be at an unfair advantage to the rest of your class'"

your maths teacher is absolutely terrible, what kind of person wouldn't give someone knowledge just because other people don't know it. Does that mean I'm not allowed to spend time on the computer, because that would put me ahead of other students in ICT?
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Combrad is not online. Combrad
Joined: 18 Jul 2009
Total Posts: 11025
21 Dec 2011 04:02 AM
He doesn't particually like me. He makes fun of me because I am ahead of the others and say the work is to easy.

Currently, we're doing all the sin, cos, tan st00f. (Trig.) Of course this is tedious when you already know it.

How about gradients then?
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Radioaktiivinen is not online. Radioaktiivinen
Joined: 25 Apr 2009
Total Posts: 18629
21 Dec 2011 04:04 AM
With degrees you measure how much rotation is applied to the center of rotation.

With radians you measure how long distance is traveled on an unit circle for that rotation. Wich happends to be 2pi for a full round.
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NXTBoy is not online. NXTBoy
Joined: 25 Aug 2008
Total Posts: 4533
21 Dec 2011 04:29 AM
I think you mean gradians. They're a silly French invention to try and metric-icize angles. 100 gradians = 90 degrees. I don't think they're very widely used.
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pwnedu46 is not online. pwnedu46
Joined: 23 May 2009
Total Posts: 7534
21 Dec 2011 12:42 PM
Radians are basically fractional parts of a half-circle. It makes more sense if you look at it on a unit circle with degrees and radians labeled.

90 degrees = pi/2
180 degrees = pi
270 degrees = (3 pi)/2
360 degrees = 2 pi


----------
    ~ pwnedu46, the unicorn ~
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FightForPeace is not online. FightForPeace
Joined: 16 Oct 2009
Total Posts: 20
21 Dec 2011 01:01 PM


If you were to draw an arc whos's length is the radius of the circle, the angle produced is 1 Radian

To convert from degrees to radians multiply by pi/180
e.g. 45 degrees becomes pi/4 radians.

To convert back multiply by 180/pi


Go Google the unit circle and memorize it in degrees and radians. EXTREMELY helpful in pre calculus
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FightForPeace is not online. FightForPeace
Joined: 16 Oct 2009
Total Posts: 20
21 Dec 2011 01:03 PM
For a diagram go look up this Wikipedia entry
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