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Polar Coordinates

Distance from a lighthouse and a compass angle · BC Calculus · greeting

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Owl · Mock interview — Polar Coordinates. I ask; you answer.

Owl · We'll convert points, plot basic loci, and face two misconceptions: r must be positive, and θ is always unique. Navigation by radius and angle is flexible — sometimes more than one pair names the same spot.

Larry’s gold answer — Show text to read it out loud.

Larry · gold answer · So x = r cos θ, y = r sin θ, and r² = x² + y². A point with Cartesian (0, 2) could be r = 2, θ = π/2.

Owl: We'll convert points, plot basic loci, and face two misconceptions: r must be positive, and θ is always unique. Navigation by radius and angle is flexible — sometimes more than one pair names the same spot.

You: —