# Using strictly algebra, how to calculate the direction of the adjacent angle, and as well the direction of the angle to the hypotenuse.

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