Is cosh(x) THE SAME as cos(x)?

Name: Is cosh(x) THE SAME as cos(x)?
Uploaded: 2025-07-19T03:04:16.146Z
Duration: 9 min 35 s
Channel: Physicists and Astronomers
Description: What do the hyperbolic functions have to do with the ordinary trig functions? For example, what does hyperbolic cosine, which is defined as (e^x+e^(-x))/2, have to do with cos(x)? And the same could be asked for hyperbolic sine and ordinary sine. It turns out that we see the "real" connection (no pun intended), when we move into the realm of complex numbers (imaginary numbers).

Physicists and Astronomers

5 Video Views·Jul 19, 2025

What do the hyperbolic functions have to do with the ordinary trig functions? For example, what does hyperbolic cosine, which is defined as (e^x+e^(-x))/2, have to do with cos(x)? And the same could be asked for hyperbolic sine and ordinary sine. It turns out that we see the "real" connection (no pun intended), when we move into the realm of complex numbers (imaginary numbers).