the unit circle and whether sine and consine are positive or negative

I am not entirely sure how to word what I'm trying to find out here. I understand that in the 3rd quadrant for example, the outputs for both sine and conside will be negative. If we were to draw the the trinagle here, what would the coordinate point here be...

Assuming that angle, theta, was 240, then youd have
cos(240) = -cos(60),
so the negative x-axis.
sin(240) = -sin(60),
so the negative y-axis. 60 would be the angle of the green triangle at the origin so 240-180. The x,y coordinates of the point would the previous values.

If thats not your question, then ...

Sorry, got distracted. What would the coordinate point be labelled?

the x-y values are
{cos(240),sin(240)} = {-cos(60), -sin(60)}
If you label the x-axis as cos and the y-axis as sin and mark on the angle 60=240-180, it should be clear?

an ok explanation, but google for others.
https://www.youtube.com/watch?v=GZOeQNjkSA0&ab_channel=TullaMaths

I know their outputs are negative in that section. However, as per this example:
In the first quadrant (cos(theta), sin(theta) are postive

I would assume that in the 3rd quadrant. The coordinates for both would both be negative, so

-cos(theta), -sin(theta)..