Multiple Choice
Plot the point , then identify which of the following sets of coordinates is the same point.
15. Polar Equations
Polar Coordinate System
Multiple Choice
Plot the point on the polar coordinate system.
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Verified step by step guidance1
Identify the polar coordinates given: (r, θ) = (6, -\(\frac{11\pi}{6}\)).
Understand that in polar coordinates, 'r' is the radial distance from the origin, and 'θ' is the angle measured from the positive x-axis.
Since the angle is negative, -\(\frac{11\pi}{6}\), convert it to a positive angle by adding 2\(\pi\). This gives us \(\frac{\pi}{6}\).
Locate the angle \(\frac{\pi}{6}\) on the polar coordinate system, which is in the first quadrant.
From the origin, move along the line at angle \(\frac{\pi}{6}\) to a distance of 6 units to plot the point.
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