The point P(1,0) and T 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 and the y-coordinate will be .
So, coordinates of T' are .
Here we must notice that point T' is the reflection point of T with respect to X-axis. (Answer)
See the diagram given.
Since the radius of the circle is 1 so, the circumference of the circle is 2π.
Now, the curved distance from point P to point T is x.
Therefore, after moving 2π distance more along the circle i.e. at (x + 2π) distance from point P will be the same point as T.
Therefore, the coordinates of the new point will remain the same as point T i.e. (4/5, 3/5) (Answer)
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