- #1

Trying2Learn

- 329

- 49

I really do not know what to ask here, so please be patient as I get a little too "spiritual" (for want of a better word). (This could be a stupid question...)

I get this: e

^{iθ}=cosθ+isinθ

And it is beautiful.

I am struck by the fact that the trig functions manifest harmonic (repetitive) behavior; and the exponential (without the imaginary part) manifest explosive behavior (growth or sinks).

It sort of seems that this equation "connects" (which, I suppose, may be the core of my question: "connects") harmonic behavior (violin strings, vibrations, etc.), with behaviors that grow (explosions) or diminish.

Could anyone elaborate on this?