Related to cosh:sinh,under the cosh,Hyperbolic cosine cosh1 (kŏsh)Chiefly British n. A weighted weapon similar to a blackjack. tr.v.coshed,cosh·ing,cosh·es To attack or hit with or as if with this weapon. [From Romanikašt,piece of wood, timber; akin to Sanskritkāṣṭham,...
Another important property of cosh is that it is a smooth and continuous function, which means that it has a well-defined derivative and integral. The derivative of cosh(x) is equal to sinh(x), which is the hyperbolic sine function, and the integral of cosh(x) is equal to sinh(x) +...
cosh(x)=ex+e−x2. In terms of the traditional cosine function with a complex argument, the identity is cosh(x)=cos(ix) .Extended Capabilities Tall Arrays Calculate with arrays that have more rows than fit in memory. C/C++ Code Generation Generate C and C++ code using MATLAB® Co...
Prove the identity: {eq}\cosh (x) + \sinh (x) = \mathrm{e}^x {/eq}. Hyperbolic functions We can prove the given identity by using the definitions of the hyperbolic sine and cosine functions: {eq}\sinh(x)=\frac{\mathrm{e}^x-\mathrm{e}^{-x}\, }{2}{/eq} ...
Use the definitions of \cosh x and \sinh x to show that \cosh^2 x - \sinh^2x = 1. What does Z mean in discrete mathematics? Given: M X N Y Y O N Z Prove: M N O X Y Z If z is implicitly defined as a function of x and y by \displaystyle{ x^2 +...
TheMath.cosh()method returns the hyperbolic cosine of a number. JavaScript Sine and Cosine Methods: The Math.sin() Method The Math.sinh() Method The Math.asin() Method The Math.asinh() Method The Math.cos() Method The Math.cosh() Method ...
The combined sinh–cosh-Gordon equation has been discussed in [5] and some of its solutions have been obtained by using the projective Riccati equation method [6]. This paper is organized as follows: In Section 2 we present the way by which we may obtain different methods for solving ...
Cos (cosine) is basic trigonometric function used to determine the ratio between the adjacent side and hypotenuse of right triangle, while cosh (hyperbolic cosine) relates to the sum of the exponential functions e^x and e^-x, used in hyperbolic geometry. ...
>>> exptrigsimp(cosh(z) - sinh(z)) exp(-z) """fromsympy.simplify.fuimporthyper_as_trig, TR2ifromsympy.simplify.simplifyimportbottom_updefexp_trig(e):# select the better of e, and e rewritten in terms of exp or trig# functionschoices = [e]ife.has(*_trigs): ...
Farhang Matin, Effect of chirp parameter on the second harmonic efficiency in relativistic super-Gaussian laser-plasma interaction. Opt. Quantum Electron. 55(11), 942 (2023) Article Google Scholar K. Tian, X. Xia, Self-focusing/defocusing of Hermite-Sinh-Gaussian laser beam in underdense ...