Question

If on the unit circle C , the distance from P (1, 0) to the point T ( 5/13, 12/13 ) is x , determine the coordinates of the point at the indicated distance from P .

Answer 1

Answer:

T' $(\frac{5}{13},- \frac{12}{13})$

Step-by-step explanation:

See the diagram attached.

This is a unit circle having a radius (r) = 1 unit.

So, the length of the circumference of the circle will be 2πr = 2π units.

Now, the point on the circle at a distance of x along the arc from P is T$(\frac{5}{13},\frac{12}{13})$.

Therefore, the point on the circle at a distance of 2π - x along the arc from P will be T' $(\frac{5}{13},- \frac{12}{13})$, where, T' is the image of point T, when reflected over the x-axis. (Answer)