Section 5.4 Trigonometric and Hyperbolic Functions - Maple Application Center
Application Center Applications Section 5.4 Trigonometric and Hyperbolic Functions

Section 5.4 Trigonometric and Hyperbolic Functions

Authors
: Dr. John Mathews
Engineering software solutions from Maplesoft
This Application runs in Maple. Don't have Maple? No problem!
 Try Maple free for 15 days!
Given the success we had in using power series to define the complex exponential, we have reason to believe this approach will be fruitful for other elementary functions as well. The power series expansions for the real-valued sine and cosine functions are sin(x) = Sum((-1)^n/(2*n+1)!*x^(2*n+1),n = 0 .. infinity); and cos(x) = Sum((-1)^n/(2*n)!*x^(2*n),n = 0 .. infinity); .

Application Details

Publish Date: October 01, 2003
Created In: Maple V
Language: English

Tags

relativity

More Like This

Section 1.5 The Algebra of Complex Numbers, Revisited
Section 1.1 The Origin of Complex Numbers
2
Section 1.3 The Geometry of Complex Numbers
Section 2.3 The Mappings w = z^n and w = z^`1/n`
Section 2.1 Functions of a Complex Variable
Section 2.4 Limits and Continuity
Section 1.4 The Geometry of Complex Numbers, Continued
Section 2.2 Transformations and Linear Mappings
Section 1.2 The Algebra of Complex Numbers
Section 1.6 The Topology of Complex Numbers
Section 2.6 The Reciprocal Transformation w = 1/z
Section 2.5 Branches of Functions