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# Trig / Angular Question

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I have a question thats been bugging me recently and I figured someone here might be able to give me a new insight. So picture a 2x2 square in 2-Dimensions with points at: {(0, 0), (2, 0), (2, 2), (0, 2)} with an extra point at (1,1). Firstly, we get the angles to the four points making up the square from the point at (1,1) starting at the smallest point and working Counter-Clockwise. For the sake of argument let us assume that the angles are to be stored and manipulated as component change of dimension(1 Unit Circle). My Question and math follows...

Unit Circle Change Of:
X          Y
Angle a0 = (-0.707, -0.707); //-135 -3PI / 4
Angle a1 = (0.707, -0.707); //-45 -PI / 4
Angle a2 = (0.707, 0.707); //45 PI / 4
Angle a3 = (-0.707, 0.707); //135 3PI / 4

//a1(-45) - a0(-135) (diff) (Should be 90)
delta = (0.707 - -0.707, -0.707 - -0.707) = (1.414, 0)(1,0) = 0 degrees (Why?)

//a2(45) - a1(-45) (diff) (Should be 90)
delta = (0.707 - 0.707, 0.707 - -0.707) = (0, 1.414)(0,1) = 90 degrees (Yay!)*

//a3(135) - a2(45) (diff) (Should be 90)
delta = (-0.707 - 0.707, 0.707 - 0.707) = (-1.414, 0)(-1,0) = +/- 180 degrees (Why?)

//a0(-135) - a3(135) (diff) (Should be 90)(Logicaly -135-135 is -270(90) degrees)
delta = (-0.707 - -0.707, -0.707 - 0.707) = (0, -1.414)(0,-1) = - 90 degrees (Why?)

So when I subtract the next angle components from the current angle components I only sometimes get the right answer, any Ideas? Am I just being a fool? Thank you in advance.

~SI

Guest Jan 9, 2016
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### 20+0 Answers

#1
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I don't think you will get any help:( I am the only member on I think... And I can't do it... But you can keep me company!LOL!

Coldplay  Jan 9, 2016
#2
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Well at least I have that then ;) This seemed so simple at the time when I was trying to solve it but I've been bashing my face against this keyboard for the last 3 days, what are you up to good sir/madam Coldplay?

~SI

Guest Jan 9, 2016
#3
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When mor peeps get their lazy bums out of bed, youre q. will prob be ans

Coldplay  Jan 9, 2016
#4
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I am supposedly sleeping... I am a girl. Thanx so much for asking. It seems like peeps always know I'm a girl fore I tell em!

Coldplay  Jan 9, 2016
#5
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Are you still there?

Coldplay  Jan 9, 2016
#6
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I guess not, bye! If you left...

Coldplay  Jan 9, 2016
#7
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I certainatly don't intend to keep you from a good nights rest M'lady. I hope that I am not imposing. Perhaps they are physcic or guessed from the avatar picture? It is well into the morning where I am. Supposed to be typing in a database but that will be our little secret ok?

~SI

Guest Jan 9, 2016
#8
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Indeed good sir! May I inquire as to where you might live?

Coldplay  Jan 9, 2016
#9
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By the way sir, my avatar is a boy...

Coldplay  Jan 9, 2016
#10
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I won't go into specifics however I can Tell you I currently live in Europe, however I move quite often part of the job as suppose. If I may ask where you might reside madam? No need for specifics a mere curiousity. A boy? Curse these eyes of mine, I shall prove myself a fool yet and in front of a lady no less.

Guest Jan 9, 2016
#11
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Jolly Good! Melody decided to re-enter the forum!

Coldplay  Jan 9, 2016
#12
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You may ask kind sir.

I reside in the lovely city of New Orleans, where it is currently 1:17am.

Coldplay  Jan 9, 2016
#13
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May I ask if you are of noble birth? Perhaps a lord, or duke?

And your prompt response would be much appreciated. Rumors tell me that the number 13 be cursed!

Coldplay  Jan 9, 2016
edited by Coldplay  Jan 9, 2016
#14
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Louisiana you say, why I spent about 2 years living there myself. I didn't particularly enjoy the summers though, too many insects for my tastes. Are you by chance a fan of the Saints? I am not personnally never had much interest however that is the state for it no? A lord or duke you say? Nay, M'Lady I am but a humble knight at your service. I jest only. I work in a government job.

~SI

Guest Jan 9, 2016
#15
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I take not pleasure in football, and indeed! It is the correct state. The summers there are rather intolerable, though the bugs, I enjoy... The coldest it has been so far this winter season is a mere 48degrees...

Coldplay  Jan 9, 2016
#16
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48 degrees is quite kind for winter. I fear I may not have much time left, although I shall be watching this question on and off through out the day, I must away to continue my work elsewhere. I thank you for the company and if I see you online again I shall write you a message if you shall permit me?

Guest Jan 9, 2016
#17
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I would enjoy that Sir Si, very much indeed! I hope to hear from u again soon!

Coldplay  Jan 9, 2016
#18
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Hi Guest SI and Coldplay,

This is all I got from your question

I have no idea what rotation or what angles you are talking about.  Perhaps you can use my diagram to help you explain better.

http://i65.tinypic.com/j6kgav.jpg

If you want to use my diagram in your new post you might be able to cut and past the address from here.

I do not know if that will work though :/

Melody  Jan 9, 2016
edited by Melody  Jan 9, 2016
#19
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Coldplay and SI,    that was an entertaining dialogue you to were having too.  :)

Melody  Jan 9, 2016
#20
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My parts prob stunk, it's been 4ever since I last tried to annoy someone like that...

Coldplay  Jan 9, 2016

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