Timeline for Is there a way to describe oscillations without referencing trigonometry?
Current License: CC BY-SA 4.0
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| Jan 28, 2021 at 14:08 | comment | added | Bill N | @Vercassivelaunos Maybe so. :) They (sin, cos, $e^{ix}$) are all just infinite power series in a wrapper, convenient for manipulation. I like the triangle based definitions, then I watch them connect to other domains. It is indeed beautiful. | |
| Jan 28, 2021 at 9:08 | comment | added | Vercassivelaunos | @BillN: I'd argue that $\exp(\mathrm ix)$ is the original trigonometric function. You can construct all other trig functions from it using only field operations and field automorphisms. You're not escaping trig functions by using the complex exponential, you're just unmasking them. | |
| Jan 28, 2021 at 6:20 | history | edited | xXx_69_SWAG_69_xXx | CC BY-SA 4.0 |
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| Jan 28, 2021 at 4:51 | comment | added | Bill N | Or you can do it with $e^{\pm i \omega x}$ without reference to trig functions. | |
| Jan 28, 2021 at 4:29 | history | edited | xXx_69_SWAG_69_xXx | CC BY-SA 4.0 |
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| Jan 28, 2021 at 4:22 | history | answered | xXx_69_SWAG_69_xXx | CC BY-SA 4.0 |