Plot the point on the polar coordinate system.
$(6,-\frac{11\pi}{6})$

• A.
• B.
• C.
• D.

Answer: (A)

Verified step by step guidance

1. Identify the polar coordinates given: (r, θ) = (6, -\frac{11\pi}{6}).
2. Understand that in polar coordinates, 'r' is the radial distance from the origin, and 'θ' is the angle measured from the positive x-axis.
3. 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}.
4. Locate the angle \frac{\pi}{6} on the polar coordinate system, which is in the first quadrant.
5. From the origin, move along the line at angle \frac{\pi}{6} to a distance of 6 units to plot the point.