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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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Step 1: Understand the polar coordinate system. A polar coordinate is represented as (r, θ), where 'r' is the radial distance from the origin and 'θ' is the angle measured counterclockwise from the positive x-axis.
Step 2: Analyze the given polar coordinate (6, -11π/6). Here, 'r = 6' indicates the point is 6 units away from the origin, and 'θ = -11π/6' is the angle in radians. Negative angles are measured clockwise from the positive x-axis.
Step 3: Convert the negative angle to a positive equivalent if needed. Since angles in polar coordinates are periodic, adding 2π to -11π/6 gives the equivalent positive angle: θ = -11π/6 + 2π = π/6.
Step 4: Locate the angle π/6 on the polar coordinate system. This angle lies in the first quadrant, 30 degrees counterclockwise from the positive x-axis.
Step 5: Plot the point. From the origin, move along the direction of the angle π/6 and mark the point at a radial distance of 6 units. This is the correct location of the point (6, -11π/6) on the polar coordinate system.