Web4.11 Hyperbolic Functions. The hyperbolic functions appear with some frequency in applications, and are quite similar in many respects to the trigonometric functions. This is a bit surprising given our initial definitions. Definition 4.11.1 The hyperbolic cosine is the function coshx = ex + e − x 2, and the hyperbolic sine is the function ... WebThe two basic hyperbolic functions are sinh and cosh. sinh (x) = (ex − e−x)/2. cosh (x) = (ex + e−x)/2. (From those two we also get the tanh, coth, sech and csch functions.) Here you see how sinh compares to the sine function and cosh compares to the cosine function: Hyperbolic Functions.

Symbolic hyperbolic cosecant function - MATLAB csch - MathWorks

http://math2.org/math/trig/hyperbolics.htm WebMath::Trig defines many trigonometric functions not defined by the core Perl which defines only the sin() and cos(). ... The cofunctions of the hyperbolic sine, cosine, and tangent (cosech/csch and cotanh/coth are aliases) csch, cosech, sech, coth, cotanh. The area (also known as the inverse) functions of the hyperbolic sine, cosine, and tangent. tsinghua fly center

CSCH function - Google Docs Editors Help

WebHyperbolic Definitions sinh(x) = ( e x - e-x)/2 . csch(x) = 1/sinh(x) = 2/( e x - e-x) . cosh(x) = ( e x + e-x)/2 . sech(x) = 1/cosh(x) = 2/( e x + e-x) . tanh(x ... Web1. Proof. Strategy: Use definition of csch; use algebra; use substitution; use partial fractions. Web使用包含逐步求解过程的免费数学求解器解算你的数学题。我们的数学求解器支持基础数学、算术、几何、三角函数和微积分 ... tsinghua foundation