Sine and Cosine

One can get to Degrees by Radian, but there is no direct relation from Radians to Sine and Cosine. As in, there is no way to get to Sine and Cosine algebraically, therefore, Cosine and Sine must be memorized. The reason for this, is Cosine and Sine work off of 90 Degrees, or 1/2π, and Radians are in base Pi, Degrees in base 360, and Sine and Cosine are in Base 1. Meaning, you can only know the ratios of Sine and Cosine by already having the exact measurements, and not by working through it algebraically. For transitioning from Base π to base 360 to Base 1, I must stop you there, because Base 1 must be described by the axiom of the shape itself, and only its axiom. What is in Base 1 only can be described in Base 1, because anything beyond it skews it by exponentiations.

Errata: You can use calculus to find Cosine and Sine, through Euler's Formula, by working through a Unit Circle, and making e^i*Radian = Cosine (Radian) + i Sine (Radian). In fact, that was Euler's work. Which coincidentally, makes e^iπ=-1 if you set the equation to equal it will be equal to (-1 + 0i). Now, equations work like this, where you set the equation to equal, it molds the shape into and equality, and can be worked through that, which is why when doing geometric constructions, you must have an equality, for it to produce correct results. As the equality molds the shape into a useful tool.

Errata Secundo: The formula for Euler's assumes Sine and Cosine already, therefore, it must still be measured. The formula, it simply places the values of Sine and Cosine on the perimeter of the unit circle, on a Cartesian plane.