Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

The graph of the function a cosh(x/a) is the catenary, the curve formed by a uniform flexible chain, hanging freely between two fixed points under uniform gravity.

Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

2020年9月10日 · Equation and graph. The cosh function is defined as: $$ \cosh{x} = \frac{e^{x}+e^{-x}}{2} $$ Here is a graph of the function: cosh as average of two exponentials. The cosh function can be interpreted as the average of two functions, $e^{x}$ and $e^{-x}$. This animation illustrates this: Other forms of the equation

The two basic hyperbolic functions are "sinh" and "cosh": Hyperbolic Sine: sinh(x) = e x − e-x 2 (pronounced "shine") Hyperbolic Cosine: cosh(x) = e x + e-x 2 (pronounced "cosh") They use the natural exponential function e x. And are not the same as sin(x) and cos(x), but a little bit similar: sinh vs sin. cosh vs cos. Catenary

2024年7月23日 · Use the definition of cosh: cosh(0) = (exp(0) + exp(-0))/2 = 2 / 2 = 1. Use the identity cosh 2 x − sinh 2 x = 1 along with the fact that sinh is an odd function, which implies sinh(0) = 0. Read the answer from the graph of the hyperbolic cosine function. Use …

COSH (x) returns the hyperbolic cosine of the angle x. The argument x must be expressed in radians. To convert degrees to radians you use the RADIANS function. The argument x can be a real number, a complex number, or a matrix.

The calculator will draw the graph of the function $$$ y = f{\left(x \right)} = \cosh{\left(x \right)} $$$. To draw a parabola, circle, ellipse or hyperbola, choose the "Implicit" option.

2024年11月25日 · Learn the different hyperbolic trigonometric functions, including sine, cosine, and tangent, with their formulas, examples, and diagrams. Also, learn their identities.