This polygonal algorithm dominated for over 1,000 years, and as a result π is sometimes referred to as Archimedes's constant. Archimedes computed upper and lower bounds of π by drawing a regular hexagon inside and outside a circle, and successively doubling the number of sides until he ...
Thus, the limit of sin(x)/x as x tends to zero is one, when x is measured in radians. Because that means that sin(x) for small x just about equals x, that also means that when x is in radians, the formulas used to calculate sin(x) as a function of x take their simplest, a...