Question

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)​

Answer 1

Answer:

$(\frac{4}{5}, -\frac{3}{5} )$

Step-by-step explanation:

The point P(1,0) and T$(\frac{4}{5}, \frac{3}{5} )$ 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 $\frac{4}{5}$ and the y-coordinate will be $-\frac{3}{5}$.

So, coordinates of T' are $(\frac{4}{5}, -\frac{3}{5} )$.

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