Trigonometric Functions for reference angle [closed]

There isn't a very specific way to calculate the sine or cosine of a general angle. There are, however, ways to approximate them. One involves the Maclaurin series of sine and cosine, which are:

$$\sin(x) = x - \frac{x^3}{3!} + \frac{x^5}{5!}-\frac{x^7}{7!}+...\\ \cos(x) = 1 - \frac{x^2}{2!} + \frac{x^4}{4!}-\frac{x^6}{6!}+...$$

(Just note to convert angles to radians before plugging into the above formula)