Final answer:
The coordinates corresponding to the angle 11/6 in (x,y) coordinates are approximately (-2.6, -4.7).
Step-by-step explanation:
The coordinates corresponding to the angle 11/6 in (x,y) coordinates can be found using the trigonometric relationships in a circle. To find the x-coordinate, we use the equation x = r * cos(theta), and to find the y-coordinate, we use the equation y = r * sin(theta), where r is the radius and theta is the angle. In this case, the radius is 8, so we have x = 8 * cos(11/6) and y = 8 * sin(11/6).
Using a calculator to evaluate cos(11/6) and sin(11/6), we find that x ≈ -2.6 and y ≈ -4.7. Therefore, the exact coordinates corresponding to the angle 11/6 in (x,y) coordinates are approximately (-2.6, -4.7).
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