Sinh(x) * Sin(x) And Sinh(x) * Cos(x) | Physics Forums

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Sinh(x) * sin(x) and sinh(x) * cos(x)
  • Context: Undergrad
  • Thread starter Thread starter flufypancakes
  • Start date Start date Oct 22, 2008
Click For Summary SUMMARY

The discussion centers around the mathematical expressions sinh(x) * sin(x) and sinh(x) * cos(x). A participant identifies that sinh(x) * sin(x) can be expressed as 1/2[cos(x[i-1]) + cos(x[i+1])]. This transformation is crucial for simplifying the analysis of these trigonometric and hyperbolic functions. The conversation highlights the importance of understanding the relationships between hyperbolic and trigonometric functions in mathematical computations.

PREREQUISITES
  • Understanding of hyperbolic functions, specifically sinh(x)
  • Knowledge of trigonometric functions, particularly sin(x) and cos(x)
  • Familiarity with mathematical transformations and identities
  • Basic calculus concepts for analyzing function behavior
NEXT STEPS
  • Research hyperbolic function identities and their applications
  • Explore trigonometric function transformations and their implications
  • Learn about numerical methods for evaluating complex mathematical expressions
  • Study the relationship between hyperbolic and trigonometric functions in detail
USEFUL FOR

Mathematicians, physics students, and anyone interested in advanced mathematical concepts involving hyperbolic and trigonometric functions.

flufypancakes Messages 11 Reaction score 0 anyone knows what's sinh(x)*sin(x)? or sinh(x)*cos(x)? i get sinh(x)sin(x) = 1/2[cos(x[i-1]) + cos(x[i+1])], but that doesn't help me much. any suggestions? Mathematics news on Phys.org
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flufypancakes Messages 11 Reaction score 0 never mind, got it! HallsofIvy Science Advisor Homework Helper Messages 42,895 Reaction score 983 What were you trying to do?

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