# Approximations of Sine

- Author:
- Dr. Doug Davis, 3D

- Topic:
- Sine

## Description

This applet shows the Sine function and three approximations for the Sine function.
The third approximation is a product series used in the calculation of .

- An early approximation for sine was from Bhaskara I is . This function is fairly accurate for angles between .

- Another approximation is a power series (MacLaurin or Taylor Series) which for the Sine function is . The number of terms can be increased to obtain any desired accuracy.

- Since the Sine function is zero at it can be approximated as . This is the Root Products Approximation.

- Polynomial Interpolation that go through a set of points. Two points define a line. For more points the polynomial can be defined as
using Lagrange Polynomials. Note, the value of the product is zero at all points and one when .