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New Conceptually the problem is easy
With standard trig, it is straightforward, you just have to know the sin and cos of 45 degrees. And the number comes out to be somewhat ugly.

With the replacement for trig it isn't quite as straightforward. The "simple algebra" doesn't quite stay so simple.

Cheers,
Ben
I have come to believe that idealism without discipline is a quick road to disaster, while discipline without idealism is pointless. -- Aaron Ward (my brother)
New So this isn't bogus?
I'm not enough of a math geek to understand on a cursory view if this is real or a con job.
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George W. Bush and his PNAC handlers sent the US into Iraq with lies. I find myself rethinking my opposition to the death penalty.

--Donald Dean Richards Jr.
New Somewhat
Often you want to avoid explicit trig calculations. They are complex, slow, and introduce rounding errors. So having a way to think about trig that avoids them is useful.

But push come to shove, there is inherent complexity that you aren't going to get around.

Cheers,
Ben
I have come to believe that idealism without discipline is a quick road to disaster, while discipline without idealism is pointless. -- Aaron Ward (my brother)
New Seems to me ...
Trig is based on measurements of the triangle itself: what is the length of each side, what are the angles, etc. This method seems to enable doing formulas directly on the coordinates. I could be mis-reading -- okay, I didn't read the whole thing -- but that's what it looked like.
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Purveyor of Doc Hope's [link|http://DocHope.com|fresh-baked dog biscuits and pet treats].
[link|http://DocHope.com|http://DocHope.com]
     How would you like to trigonometry without sin/cos/tan? - (Silverlock) - (24)
         That's just wrong. -NT - (bionerd) - (11)
             Agreed if does away with Euclid. - (a6l6e6x) - (10)
                 This is a good thing? - (ben_tilly) - (9)
                     I also learnt complex numbers via an unconventional route. - (static)
                     Re: think of proofs as straightforward. - (mmoffitt) - (6)
                         I'll have to disagree with you on that - (ben_tilly) - (5)
                             Nit. - (mmoffitt) - (4)
                                 Nit denied - (ben_tilly) - (3)
                                     What's your point? - (mmoffitt) - (2)
                                         My point is that... - (ben_tilly) - (1)
                                             Ah. Dartmouth. - (mmoffitt)
                     It was for me. I ate 'em up. - (a6l6e6x)
         What the hell is spread in mathematics? -NT - (warmachine) - (1)
             the value between the over and under, what, you dont bet? -NT - (boxley)
         Fundamental blindness - - (Ashton)
         IOW: "Let's dumb down Math for the Masses" - (imqwerky)
         Choose which operations are difficult - (ben_tilly) - (5)
             I'd have thought most folks can grok Pythagoras, at least - - (Ashton) - (4)
                 Conceptually the problem is easy - (ben_tilly) - (3)
                     So this isn't bogus? - (Silverlock) - (2)
                         Somewhat - (ben_tilly) - (1)
                             Seems to me ... - (drewk)
         Just another coordinate system - (tuberculosis)
         Maths is not singular - (ChrisR)

I'll eat my freaking Taco Bell and drink my beer, and I'll do it all in bed, dammit!
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