mathswithmuza on Instagram: "The Taylor series is a mathematical tool that expresses a function as an infinite sum of terms calculated from its derivatives at a single point. Essentially, it approximates complicated functions using polynomials, where each term involves the function’s derivatives evaluated at the expansion point and powers of the distance from that point. For example, expanding around zero gives the Maclaurin series, a special case of the Taylor series. This method is especially

mathswithmuza on Instagram: "Trigonometric functions are mathematical relationships that connect the angles of a triangle with the ratios of its sides. The most common ones are sine, cosine, and tangent, which are defined using right triangles. For example, sine measures the ratio of the side opposite an angle to the hypotenuse, while cosine measures the ratio of the adjacent side to the hypotenuse. These functions are not limited to triangles; they are used to describe patterns of waves, oscill