Education Technology

TAS: Taylor Polynomials

by Texas Instruments


  • Complex numbers in polar form (modulus and argument)
  • Proof of basic identities involving modulus and argument
  • Proof of DeMoivre’s Theorem for integral powers


  • Taylor Series,
  • Taylor Polynomial,
  • Complex numbers in rectangular form,
  • Complex numbers in polar form
  • Modulus
  • Argument

About the Lesson

A Taylor polynomial is a finite number of terms from a Taylor series.  In this activity Taylor polynomials are used that approximate exponential and trigonometric functions.  The introduction of the complex number i shows how the trigonometric functions can be added to produce the exponential function and therefore making the link between the two types of polar representation of a complex number.