All squigonometric functions admit derivatives that can be expressed as polynomials of the squine and cosquine. We introduce a general framework that allows us to determine these polynomials recursively. We also provide an explicit formula for all coefficients of these polynomials. This also allows us to provide an explicit expression for the MacLaurin series coefficients of all squigonometric functions. We further discuss some methods that can compute the squigonometric functions up to any given tolerance over all of the real line.

翻译：所有扭曲线函数的导数均可表示为扭正弦与扭余弦的多项式。本文提出一个通用框架，使我们能够递归地确定这些多项式，并给出这些多项式所有系数的显式公式。该方法进一步使我们能够给出所有扭曲线函数麦克劳林级数系数的显式表达式。我们还探讨了在全实数域上以任意给定精度计算扭曲线函数的若干方法。