对原方程:
ρ² - 2√3ρcosθ +2ρsinθ = 0...............(0)
进行整理、求解和三角变换即可:
ρ(ρ - 2√3cosθ + 2sinθ) = 0
ρ = 0.................................................(1)
ρ = 2(√3cosθ - sinθ )........................(2')
= 4cos(θ+π/6)................................(2).