@professionalbronco That's really great that you're thinking about triangles!
Here's the thing-- think about what $$x$$ is. It's the angle that we're looking at when trying to find the ratios.

What $$\text{sin}(30^{\circ})=\frac12$$ says is that the ratio of the side opposite of a $$30^{\circ}$$ angle in a triangle TO the hypotenuse is always equal to $$\frac12$$.

So, if you are looking at the graph of $$y=\text{sin}(x)$$, plugging in $$x=30^{\circ}$$ gives you $$y=\frac12$$. This means that $$(30,\frac12)$$ will be on the graph.

Basically, whatever you plug into $$x$$, that's the angle we're looking at. If you plug in $$x=15^{\circ}$$, we're now looking at a $$15^{\circ}$$ angle in a right triangle.

Wait-- let's go back to the point $$(30,\frac12)$$. Try doing $$\text{sin}(30)$$ on your calculator. If you get $$\frac12$$, great! But you actually might get something really weird (like -0.988).

If you do get something weird, this goes back to what the lesson was talking about, degrees vs. radians! Use what you learned in the lesson to figure out what $$30^{\circ}$$ is in radians. Then, try to take the sine of that value. That should give you $$\frac12$$.

Here's a tip to remember-- ALWAYS make sure whether you're using degrees or radians. If you're using degrees, set your calculator to degrees. Same thing with radians.

One last note: you shouldve gotten that $$30^{\circ}$$ is equal to $$\frac{\pi}{6}$$ radians. So, does that mean we should graph $$(30,\frac12)$$ or $$(\frac{\pi}{6},\frac12)?$$

Well, it depends on the graph. If the graph tells you to graph the points in degrees, use 30. If it says radians, use $$\frac{\pi}{6}$$.
But, just try to think about graphing both points. $$30$$ is pretty huge when we're graphing right? Especially compared to how small $$\frac{1}{2}$$ is. Radians, on the other hand, are much smaller. It's so much easier to find $$\frac{\pi}{6}$$ because it's smaller. So, graphs often use radians by default.