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如何计算Polar Coordinates

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Polar coordinates represent a point by distance r from the origin and angle θ from the positive x-axis. Natural for circular and radial problems. x = r cos θ, y = r sin θ.

分步指南

  1. 1Cartesian to polar: r = √(x²+y²) · θ = atan2(y,x)
  2. 2Polar to Cartesian: x = r cos θ · y = r sin θ

例题解析

输入
Cartesian (3, 4)
结果
Polar (5, 53.13°)
r=√(9+16)=5; θ=atan2(4,3)=53.13°

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