What is Sinhx?

The hyperbolic function f(x) = sinh x is defined by the formula. sinh x = ex − e−x 2 . The function satisfies the conditions sinh 0 = 0 and sinh(−x) = −sinh x. The graph of sinh x. is always between the graphs of ex/2 and e−x/2.

What is Cosh on a calculator?

Description. Hyperbolic cosine function. 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.

What is Tanh in math?

Tanh is the hyperbolic tangent function, which is the hyperbolic analogue of the Tan circular function used throughout trigonometry. Tanh[α] is defined as the ratio of the corresponding hyperbolic sine and hyperbolic cosine functions via . Tanh may also be defined as , where is the base of the natural logarithm Log.

What is hyperbolic sine used for?

Just as cosine and sine are used to define points on the circle defined by x2+y2=1, the functions hyperbolic cosine and hyperbolic sine are used to define points on the hyperbola x2−y2=1.

What is the meaning of the word hyperfunction?

hy·​per·​func·​tion | \\ˈhī-pər-ˌfəŋ(k)-shən \\. : excessive activity or function (as of a bodily part) pituitary hyperfunction hyperfunction of the adrenal cortex.

What is the dictionary definition of hyperbolic function?

Of or relating to a hyperbolic function: hyperbolic cosine. American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved. 1. (Mathematics) of or relating to a hyperbola 2.

How is a hyperfunction defined on the real line?

A hyperfunction on the real line can be conceived of as the ‘difference’ between one holomorphic function defined on the upper half-plane and another on the lower half-plane. That is, a hyperfunction is specified by a pair ( f , g ), where f is a holomorphic function on the upper half-plane and g is a holomorphic function on the lower half-plane.

How is a hyperfunction specified in a pair?

That is, a hyperfunction is specified by a pair ( f , g ), where f is a holomorphic function on the upper half-plane and g is a holomorphic function on the lower half-plane. would be at the real line itself.