The general formula of a catenary is y = a*cosh(x/a) = a/2*(ex/a + e-x/a) cosh is the hyperbolic cosine function
The actual value depends on the argument. The ratio sinh x / cosh x can be written as tanh x. This is analogous to the trigonometric functions.
y = 3 sin x The period of this function is 2 pi.
2
(x)=(1- cosh (ix))/2
The general formula of a catenary is y = a*cosh(x/a) = a/2*(ex/a + e-x/a) cosh is the hyperbolic cosine function
Let x = ea then 1/x = e-a where e is the base of natural logarithms. Then y = x + 1/x = ea + e-a So y/2 = (ea + e-a)/2 = cosh(a), the hyperbolic cosine function a = cosh-1(y/2) x= exp(cosh-1(y/2))
#include ...double x, y;...y = cosh (x);
John Cosh died in 2005.
John Cosh was born in 1915.
Cosh Boy was created in 1953.
Colby Cosh was born in 1971.
Ben Cosh is 180 cm.
x = a cosh(t)y = a sin(t)gives the right side of the hyperbola.x = -a cosh(t)y = a sin(t)gives the left side of the hyperbola.where t ranges over Rsinh(t) = (et - e-t)/2cosh(t) = (et + e-t)/2
COSH is a graffiti artist from Rotterdam, Netherlands.
cosh^2 x - sinh^2 x = 1 cosh x = 1+ sinh^2 x cosh x = 1+(-3/5)^2 cosh x = 1+9/25 = 34/25 cosh 2x = 2 sinh x cosh x cosh 2x = 2 (-3/5) (34/25) =-204/125
William Cosh has written: 'The cause of the copper'