Computing Hyperbolic Functions: Tips for Evaluating cosh(ln2)

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SUMMARY

The discussion focuses on computing hyperbolic functions, specifically cosh(ln2), using exponential functions. It is established that hyperbolic functions can be evaluated through the formula \(\cosh x = \frac{e^{x} + e^{-x}}{2}\). Participants emphasize the importance of understanding the relationship between hyperbolic and exponential functions for accurate calculations. The lack of direct calculator support for hyperbolic functions is noted, prompting the need for alternative methods.

PREREQUISITES
  • Understanding of hyperbolic functions
  • Familiarity with exponential functions
  • Basic knowledge of logarithms
  • Ability to manipulate mathematical formulas
NEXT STEPS
  • Research the properties of hyperbolic functions
  • Learn how to derive hyperbolic identities
  • Explore the use of calculators for advanced mathematical functions
  • Study the applications of hyperbolic functions in real-world scenarios
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Students, mathematicians, and anyone interested in advanced mathematical concepts, particularly those working with hyperbolic and exponential functions.

kasse
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I wonder how I can compute hyperbolic terms like cosh(ln2). The calculator we're allowed to use doesn't have buttons for calculating hyperbolic functions.
 
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The hyperbolic trig functions are just sums and ratios of exponential function.

type hyperbolic function on wiki or something.
 
Incidentally, your example is trivial, if you know that

[tex]\cosh x =\frac{e^{x}+e^{-x}}{2}[/tex]

Daniel.
 

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