slug
type
status
category
summary
date
tags
password
icon
0. Do you know any equation for the curve below?
Hyperbolic Functions
1. Review
Any function f(x) with a symmetrical domain can be represented as the sum of an even function and an odd function
Review part
2.Explain the definitions of sinh(x) and cosh(x)
Why are they called sinh(x) and cosh(x), instead of “ccsch” or “sinp” ?
2.1 Why “sin/cos” here?
2.1.2 similar properties？
2.2 why is there a “h” here?
answers
hyperbola:双曲线
Check with GeoGebra: Parametrical hyperbola
3.Find the graphs of cosh(x) and sinh(x) with GeoGebra
using graphs.ggb
4.Catenary: application of cosh(x) in real life
Catenary
Try to find the value of a for the catenary with GeoGebra!
Activity: find the equations for different catenaries
5. Past paper questions
Q1
Solutions:
Q2
Solutions:
Q3
Solutions:
6. Homework
- Watch the following related video
explanation for the integration part in the video
- 作者:现代数学启蒙
- 链接:https://www.math1234567.com/article/hyperbolicfunctions
- 声明:本文采用 CC BY-NC-SA 4.0 许可协议，转载请注明出处。
相关文章
