The Trigonometery functions in other presentation

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SUMMARY

The discussion focuses on the representation of trigonometric functions such as SinX, CosX, TanX, and CotX using basic mathematical operations including logarithms, multiplication, division, addition, subtraction, exponentiation, and nth root operations. It confirms that these functions can be expressed through infinite series, specifically utilizing addition and multiplication, as detailed in resources like the Power Series for Cosine and Sine on Wikibooks and the Wikipedia article on Trigonometric Functions. Additionally, the discussion highlights the use of complex functions to represent sine and cosine, specifically through Euler's formula.

PREREQUISITES
  • Understanding of infinite series and their convergence
  • Familiarity with basic operations: addition, multiplication, and exponentiation
  • Knowledge of complex numbers and Euler's formula
  • Basic trigonometric identities and functions
NEXT STEPS
  • Research the Power Series for Sine and Cosine functions
  • Explore Euler's formula and its applications in trigonometry
  • Study the convergence of infinite series in mathematical analysis
  • Learn about the numerical methods for computing trigonometric functions
USEFUL FOR

Mathematicians, educators, students studying trigonometry, and anyone interested in the mathematical foundations of trigonometric functions.

DaniV
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Can I present the trigonometry functions (such as SinX, CosX, TanX, CotX) by using only- Log, Lan, multiplication, division, addition, subtraction, exponantion, nth root operations?
 
Mathematics news on Phys.org
Using complex functions, you can represent [itex]sin(x)=\frac{e^{ix}-e^{-ix}}{2i}\ and\ cos(x)=\frac{e^{ix}+e^{-ix}}{2}[/itex].
 

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