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- In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just as the points (cos t, sin t) form a circle with a unit radius, the points (cosh t, sinh t) form the right half of the unit hyperbola. Also, just as the derivatives of sin(t) and cos(t) are cos(t) and –sin(t), the derivatives of sinh(t) and cosh(t) are cosh(t) and +sinh(t). Hyperbolic functions occur in the calculations of angles and distances in hyperbolic geometry. They also occur in the solutions of many linear differential equations (such as the equation defining a catenary), cubic equations, and Laplace's equation in Cartesian coordinates. Laplace's equations are important in many areas of physics, including electromagnetic theory, heat transfer, fluid dynamics, and special relativity. The basic hyperbolic functions are: hyperbolic sine "sinh" (), hyperbolic cosine "cosh" (),from which are derived: hyperbolic tangent "tanh" (), hyperbolic cosecant "csch" or "cosech" () hyperbolic secant "sech" (), hyperbolic cotangent "coth" (),corresponding to the derived trigonometric functions.
We couldn't find any anagrams for the word hyperbolic functions.
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hyperbaton, hyperbola, hyperbolaeon, hyperbole, hyperbolic, hyperbolically, hyperbolicly, hyperbolism, hyperbolize, hyperboloid
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"hyperbolic functions." Anagrams.net. STANDS4 LLC, 2024. Web. 14 May 2024. <https://www.anagrams.net/hyperbolic%20functions>.
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