〰️ 双曲函数 sinh / cosh / tanhHyperbolic Functions Calculator
计算 sinh、cosh、tanh、coth、sech、csch 以及反双曲函数 asinh、acosh、atanh。本地处理。可设置「x」。sinh, cosh, tanh, coth, sech, csch and the inverses asinh, acosh, atanh. Processed locally. Settings: x.
使用说明与常见问题How-to & FAQ
「双曲函数 sinh / cosh / tanh」是什么？What is the Hyperbolic Functions Calculator tool?
计算 sinh、cosh、tanh、coth、sech、csch 以及反双曲函数 asinh、acosh、atanh。本地处理。可设置「x」。sinh, cosh, tanh, coth, sech, csch and the inverses asinh, acosh, atanh. Processed locally. Settings: x.
如何使用「双曲函数 sinh / cosh / tanh」？How do I use the Hyperbolic Functions Calculator tool?
在「双曲函数 sinh / cosh / tanh」中，填写「x」等参数，结果会随输入实时计算并显示在下方。In the Hyperbolic Functions Calculator: Fill in "x"; results are recalculated instantly as you type.
和三角函数的关系？Link to trig functions?
cosh²x - sinh²x = 1，对应单位双曲线，就像 cos² + sin² = 1 对应单位圆。cosh²x - sinh²x = 1 describes the unit hyperbola, as cos² + sin² = 1 does the unit circle.
能举个计算实例吗？Can you show a worked example?
例如在「双曲函数 sinh / cosh / tanh」中填 x = 1，结果区显示：sinh x：1.175201194；cosh x：1.543080635；tanh x：0.761594156；coth x：1.313035285；sech x：0.6480542737；csch x：0.8509181282；asinh x：0.881373587；acosh x：0；atanh x：需要 |x| < 1For example, entering x = 1 in the Hyperbolic Functions Calculator gives: sinh x: 1.175201194; cosh x: 1.543080635; tanh x: 0.761594156; coth x: 1.313035285; sech x: 0.6480542737; csch x: 0.8509181282; asinh x: 0.881373587; acosh x: 0; atanh x: needs |x| < 1
哪些输入会被检查？Which inputs are validated?
「双曲函数 sinh / cosh / tanh」会检查这些输入——「x」：必须填写；绝对值超过 10¹⁵ 的数也会被拒绝。不符合时结果区显示具体提示，不会给出数字。The Hyperbolic Functions Calculator checks its inputs — "x": required; numbers above 10¹⁵ in absolute value are rejected too. When a value fails, the result area names the problem instead of showing a number.
有哪些选项可以调整？What options can I adjust?
「双曲函数 sinh / cosh / tanh」的设置：「x」默认 1。每次生成结果都按当前设置处理。Settings in the Hyperbolic Functions Calculator — "x" default 1. The result always uses the current settings.
计算精度如何？How precise are the results?
「双曲函数 sinh / cosh / tanh」使用 JavaScript 双精度浮点数（约 15–16 位有效数字）；极大或极小的数值可能存在精度误差。The Hyperbolic Functions Calculator uses double-precision floating point (about 15–16 significant digits); very large or very small values may lose precision.
「双曲函数 sinh / cosh / tanh」免费吗？需要注册吗？Is the Hyperbolic Functions Calculator free? Do I need an account?
「双曲函数 sinh / cosh / tanh」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The Hyperbolic Functions Calculator is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.