Hyperbolic sine function is a kind of hyperbolic function. Hyperbolic sine function is generally recorded as sinh in mathematical language, and can also be abbreviated as sh.

Hyperbolic cosine function is one of them. Hyperbolic cosine function is written as cosh or abbreviated as ch.

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Like trigonometric functions, hyperbolic functions are divided into six types: hyperbolic sine, hyperbolic cosine, hyperbolic tangent, hyperbolic cotangent, hyperbolic secant and hyperbolic cotangent. Hyperbolic sine function and hyperbolic cosine function are two basic hyperbolic functions, from which hyperbolic tangent function can be derived.

Derivation of hyperbolic function;

shx = (e^x - e^(-x)/2,(shx) ' =chx

chx = (e^x + e^(-x)/2,(chx) ' =shx

thx = shx / chx，(thx) ' = 1/(chx)^2？

Sum and difference formula of two angles:

sinh(x+y)= sinhxcoshy+coshxsinhy

sinh(x-y)= sinhxcoshy-coshxsinhy

cosh(x+y)= coshxcoshy+sinhxsinhy

cosh(x-y)= coshxcoshy-sinhxsinhy

Baidu encyclopedia-hyperbolic sine function

Baidu Encyclopedia-hyperbolic cosine function