Find the missing coordinate of P, using the fact that P lies on the unit circle in the given quadrant.Coordinates QuadrantP − 513,
Question
Find the missing coordinate of P
Using the fact that P lies on the unit circle in the given quadrant, determine the coordinates of P:
- Coordinates: P = (-5, 13)
- Quadrant: ?
Solution
The problem seems to be incomplete. The coordinates of point P are given as P - 513, but this doesn't specify whether this is the x-coordinate or the y-coordinate. Also, the quadrant in which point P lies is not provided.
However, I can tell you that on the unit circle, the coordinates are (cosθ, sinθ), where θ is the angle made with the positive x-axis. The x-coordinate is the cosine of the angle and the y-coordinate is the sine of the angle.
If you know one of the coordinates and the quadrant, you can find the other coordinate. For example, if you know the x-coordinate and that the point is in the first quadrant, you can find the y-coordinate by using the Pythagorean identity sin²θ + cos²
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