Using Sine & Cosine to Find x & y Values

Alright, imagine you’re at the coolest virtual reality (VR) theme park, where you’re about to hop onto a simulator that takes you on a wild ride through waves and circles. Welcome to the world of Sine and Cosine, the dynamic duo of trigonometry that powers the magic behind this ride.

Sine (sin) is like that rad surfer riding the waves. It’s all about the up and down motion. When you look at a point on a circle (think of it as the bird’s-eye view of the wave), sine tells you how high or low you are on the wave. It’s the vertical y-coordinate of a point on the unit circle, showing you how deep you dive or how high you fly.

Cosine (cos), on the other hand, is the cool skateboarder cruising left and right along the wave’s base. Cosine deals with the horizontal stretch, telling you how far left or right you are from the circle's center. It’s the x-coordinate of that point on the unit circle, marking your position along the horizontal axis as you glide.

These trigonometric functions aren’t just about circles and waves, though. They're the backbone of understanding motion, vibrations, and patterns in the world around us. From the ebb and flow of tides to the oscillations of a pendulum and even the sound waves blasting through your headphones, sine and cosine are behind the scenes, choreographing the rhythm of the universe.

So, the next time you're listening to your favorite track, watching the ocean waves, or even enjoying the thrills of a VR ride, remember that sine and cosine are the unsung heroes making those waves, beats, and circular paths possible. They’re your ticket to understanding the cosmic dance of motion and change, proving that math isn't just about numbers; it's about the adventure.

[josetafoya]

You didn’t even show us how you evaluated the 0.6 and 0.8 we just told us that’s what it was. I literally learned nothing during this video.