Suppose an arc of length $s$ lies on the unit circle $x^{2}+y^{2}=1$, starting at the point $(1,0)$ and terminating at the point $(x, y)$. Use a calculator to find the approximate coordinates for $(x, y)$. (Hint: $x=\cos s$ and $y=\sin s$.) \[ s=0.3 \] \[ (x, y)= \] (Type an ordered pair. Round to four decimal places as needed.)

Step 1 ：Suppose an arc of length \(s\) lies on the unit circle \(x^{2}+y^{2}=1\), starting at the point \((1,0)\) and terminating at the point \((x, y)\).

Step 2 ：Given that \(s=0.3\), we can use the hint given in the question that tells us that the x-coordinate of this point is \(\cos(s)\) and the y-coordinate is \(\sin(s)\).

Step 3 ：Calculate \(\cos(0.3)\) and \(\sin(0.3)\) to find the coordinates of the point.

Step 4 ：\(x = \cos(0.3) = 0.955336489125606\)

Step 5 ：\(y = \sin(0.3) = 0.29552020666133955\)

Step 6 ：Round the values of x and y to four decimal places.

Step 7 ：\(x = 0.9553\)

Step 8 ：\(y = 0.2955\)

Step 9 ：\(\boxed{(x, y) = (0.9553, 0.2955)}\)