Using graphs, show how the Taylor expansion can be used to approximate a trigonometric function.

The Taylor expansion/theorem is used to express any function as a power series about a certain point. Using the given formula of the Taylor expansion, we can approximate a trigonometric function (for example, Sin(x)) to increasing orders. By drawing each of these onto overlaying graphs, we can see that as the order of our Taylor expansion increases, we achieve a function that is closer to the original function (Sin(x)). It is important to understand that this is how computers/calculators calculate trigonometric functions.

Related Further Mathematics A Level answers

All answers ▸

What is the meaning of having a 3 by 3 matrix with determinent 0. Both geometrically and algebriaclly.


y = artanh(x/sqrt(1+x^2)) , find dy/dx


Integrate ln(x) with respect to x.


How do you calculate the derivative of cos inverse x?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences