y = r sinθ
x = r cosθ
dy = sinθ dr + r cosθ dθ
dx = cosθ dr - r sinθ dθ
so, the slope of the tangent line is
dy/dx = (sinθ dr + r cosθ dθ)/(cosθ dr - r sinθ dθ)
at θ=π, dy/dx = r dθ/dr = r(-6/r^2) = -π^2/6
so, now we have a point and a slope, so the tangent line is
y = -π^2/6 (x + 6/π)
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