What are trigonometric nonlinearities?

Trigonometric nonlinearities are like when shapes on a swing don’t just go up and down, but start to twist and turn in fun new ways.

Imagine you're on a swing at the park. When you push it gently, it goes back and forth, that’s linear motion, simple and predictable. But if you jump off the swing really high, or if the chain is loose, the swing might start spinning around or moving side to side too, that's nonlinearity, because now the movement isn’t just going straight up and down anymore.

Now think about a clock’s hands, they move in circles. That motion is described by trigonometric rules, like sine and cosine. When things get complicated, when you have more than one swing or more than one hand moving at once, those trigonometric rules can mix together in tricky ways, making the whole system harder to predict.

If two kids are on separate swings, and they both start swinging at the same time, their swings might begin to sync up or even mess with each other’s rhythm, this is like trigonometric nonlinearities in action. It's not just one swing moving alone anymore; it's a whole dance of motion!