Approximations of Sine
- Dr. Doug Davis, 3D
This applet shows the Sine function and three approximations for the Sine function.
- 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 .