# The COSH function

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The COSH function

You probably think we're talking about a bunch of hyperbolics here, but that's what happens when we're under the APORREAR. This function returns the hyperbolic cosine of a number.

That's fine if you know what it means “hyperbolic cosine”. In mathematics, hyperbolic functions are analogous to trigonometric or circular functions, like sine and cosine.

like the points (cos t, sen t) They form a circle with a unit radius, points (cosh z, birth) form the right half of the equilateral hyperbola (see the figure below). Hyperbolic functions take a real argument called a hyperbolic angle. The size of a hyperbolic angle is twice the area of ​​its hyperbolic sector.. The hyperbolic functions can be stated in terms of the legs of a right triangle that covers this sector.

Hyperbolic functions occur in the solutions of many linear differential equations., like some cubic equations. At the same time, in complex analysis, hyperbolic functions arise as the imaginary parts of sine and cosine, but that's a story for another day.