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Multiple Choice
Plot the point on the polar coordinate system. (6,−611π)
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Verified step by step guidance
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Identify the polar coordinates given: (6, -\frac{11\pi}{6}). The first value, 6, is the radius (r), and the second value, -\frac{11\pi}{6}, is the angle (\theta) in radians.
Convert the negative angle to a positive angle by adding 2\pi. Since -\frac{11\pi}{6} is negative, add 2\pi to find the equivalent positive angle: -\frac{11\pi}{6} + 2\pi = \frac{\pi}{6}.
Locate the angle \frac{\pi}{6} on the polar coordinate system. This angle is in the first quadrant, 30 degrees from the positive x-axis.
From the origin, move along the direction of the angle \frac{\pi}{6} to a distance of 6 units, as indicated by the radius.
Plot the point at the intersection of the line at angle \frac{\pi}{6} and the circle with radius 6. This is the correct location of the point (6, -\frac{11\pi}{6}) on the polar coordinate system.