Blog Space :D Sine of One Degree

[Natch]

I still have no idea what you're trying to do. Maths wasn't and still isn't my strong suit. Dang circles

[HatCat]

Sine() is a trigonometric function. I started learning about trigonometry in Tenth Grade, but, at the time, I never really understood the point in any of it myself. While everyone else was absorbing the "SOHCAHTOA" (sin = opposite / hypotenuse, cosine = adjacent over hypotenuse, tangent = opposite over adjacent) and all that stuff, I was indefinitely confused about more specific questions like, what the algorithms behind the functions were? Is there some statement (in algebraic maybe) you can use in place of just writing out "sin()" etc. all the time, since it's just English text rather than math technically?

Another problem is that people have to rely on their calculators for decimal approximations. If I can find the exact radical expression for the sine of one degree, I can base off of that as the basic unit and find such for other degree measures, without relying on decimal approximations.

In computer science, though, there is little to no point to this. It takes way more CPU cycles and is less efficient to calculate the square root of things all the time. Most efficient would be to approximate the sine of something with a calculator and manually define a variable to that decimal constant in C or whatever you're programming in, to store all of the bits in advance.

Originally Posted by ExtremeDude2

What if

T_T then I'll just have to try again.

Even if my simplified expression is wrong, (a + b)^2 is already used in the original image before I simplified anything, so no matter how you slice it or what I've done right or wrong so far I will still need to evaluate that expression either way. I'm doing the least hazardous things first and the most hazardous things later.

[Natch]

I know what sine is I just don't understand what you're trying to do XD


also, tl;dr

[HatCat]

!! Basically I would like to be a mdoerator and start giving people banns in the mdoerator control pannel !!

"I am the main administrator there and I can ban people !"

lmao, epic reactions ensued from that thread

Anyway, I have a better question. If you know what sine means, how could you not understand what I'm trying to do? You're just pretending like you don't.

[Natch]

because I know what they are, but I have no idea what you're trying to do with them at the moment XD All I see are just a bunch of square roots and such XD

[HatCat]

OMG figure it out.



See this shit, that's a direct value that equates to the sine of one degree.

sin(+1.) = all of that shit in the above image.

If you still don't get what I mean, I'll even link to a "math" page I was working on a year ago but put to rest until recently.
http://dl.dropbox.com/u/16494013/math/trig_ratio.html

That has the exact ratios for the sines of a few popular degree measures. If you evaluate those expressions in a calculator, it will be the same as if you had just looked for the sine of theta degrees.

[Natch]

............................say again? What does theta have to do with this?

[HatCat]

IDK. IIRC the symbol theta is a letter of the Greek alphabet.

Kinda like alpha, beta, pi, blah, blah. So as to differentiate from always using the English alphabet all the time I guess.

Traditionally, theta is sometimes used as the label of an unknown angle measure that is being targeted (sort of like "x" as the usual, generic name for a target unknown variable).

[Natch]

I know that much; I spent four years learning ancient Greek XD I didn't know how it was used in Math though, thanks for that

[HatCat]

I didn't start reading it as a traditional practice online until I first saw it in my Twelfth Grade textbook, myself. Or maybe my Junior year of High School there was an instance of the more modern variety of text books using the letter theta as a symbol for target angle measures; I don't remember.

Lots of times Greek letters are used as you start approaching college algebra or Calculus (eh, or in other words, algebra with funny symbols and high-level definitions of lower-level quantities, operations, etc.)

There is also the controversy between using Greek or Latin to name n-sided polygons.
Three-sided polygons, duh, are called triangles.
Four-sided polygons are called quadrilaterals.
Both Greek and Latin agree to call five-sided polygons "pentagons".
Now if it's an 11-gon, Greek says you should call it "hendecagon", while Latin says you should call it "undecagon".

So there's a bunch of linguistic, language shit used with that stuff as well that I didn't really bother at first.