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First question, here goes!

In respect to, How to calculate opposite direction angle

I am currently trying to find a non Taylor-series/non calculator method to calculate (in degrees) sine, cosine and tangent-- quickly and efficiently by hand.

So far, I have only tried experimenting with an algebraic formula I happened to make, that attempts at finding the sine of a degree angle to the ten-thousandths place.

For example, "Find the Sine of 60 degrees"

I tried conjuring up a draft of a formula, but I have the slightest clue on how to find the adjacent angle algebraically;

deg. = degrees

n = math.sign of 180;

meaning, if "n" is greater than or equal to a 180th degree, then "n" = -1. else if "n" is less than or equal to a 180th degree, then`"n" = 1.

(I say "180th degree" instead of "180 degrees" in case the angle plugged into the formula below is equal or greater than 360 degrees or below zero degrees)* , then n = -1.***

If sine = opposite/adjacent and opposite =(deg. + (180 * n)) then

sine = (deg. + (180 * n))/adjacent

Any help would be greatly appreciated!

Some other postulates

Hypotenuse = adjacent/cosine

Adjacent = opposite/tangent

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  • $\begingroup$ Huh???????????? $\endgroup$ – William Elliot Oct 28 '18 at 8:40
  • $\begingroup$ I don't think I worded the definition of n correctly, I write in lua and I have a hard time trying to communicate this concept, so I can understand, how my question is worded funny. I meant to say, "if n => 180 then n must = -1. if n < 180 then must equal 1." $\endgroup$ – Homo Videt Oct 28 '18 at 15:53

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