To analyze the coordinates [tex]\((1, \sqrt{3})\)[/tex] and [tex]\((-1, 1)\)[/tex], let's go step by step to understand their significance and what they represent:
1. First Point [tex]\((1, \sqrt{3})\)[/tex]:
- The x-coordinate is 1.
- The y-coordinate is [tex]\(\sqrt{3}\)[/tex].
- Numerically, [tex]\(\sqrt{3}\)[/tex] is approximately 1.7320508075688772.
- So, the actual coordinates are [tex]\((1, 1.7320508075688772)\)[/tex].
2. Second Point [tex]\((-1, 1)\)[/tex]:
- The x-coordinate is -1.
- The y-coordinate is 1.
- These coordinates are straightforward as the point is exactly at [tex]\((-1, 1)\)[/tex].
So, taking this into account, the provided points in their precise numerical form are [tex]\((1, 1.7320508075688772)\)[/tex] and [tex]\((-1, 1)\)[/tex].
This understanding of the coordinates prepares us to use these points further in any geometrical analysis or problem-solving scenario. Whether we are calculating the distance between them, finding the equation of the line passing through them, or any other geometrical application, these are the points we will work with.
