Question

If 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: 2π + x

(4/5, 3/5)
(-4/5, 3/5)
(4/5, -3/5)
(-4/5,-3/5)​

Answer 1

(4/5, 3/5)

Explanation:

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)