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If on the unit circle C, the distance from P(1, 0) to the point T ( 4/5 , 3/5 ) is x, determine the coordinates of the point at the indicated distance: P - x
(4/5, 3/5)
(-4/5, 3/5)
(4/5, -3/5)
(-4/5, -3/5)​

If on the unit circle C the distance from P1 0 to the point T 45 35 is x determine the coordinates of the point at the indicated distance P x45 3545 3545 3545 3 class=

Respuesta :

Answer:

[tex](\frac{4}{5}, -\frac{3}{5}  )[/tex]

Step-by-step explanation:

The point P(1,0) and T[tex](\frac{4}{5}, \frac{3}{5}  )[/tex] are on the unit circle C and the arc length from P to T is x.

Let us assume that point P - x i.e. the point obtained by moving clock wise direction along the circle from P is T'.

Because of the symmetry of the circle about the coordinate axes, the x-coordinate of point T' will be [tex]\frac{4}{5}[/tex] and the y-coordinate will be [tex]-\frac{3}{5}[/tex].

So, coordinates of T' are [tex](\frac{4}{5}, -\frac{3}{5}  )[/tex].

Here we must notice that point T' is the reflection point of T with respect to X-axis. (Answer)

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