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miv72 [106K]
3 years ago
5

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 poin

t at the indicated distance from P .

Mathematics
1 answer:
Lorico [155]3 years ago
6 0

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)

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