Question

把直角坐标方程化成极坐标方程把下列直角坐标方程化成极坐标方程：(1) x^2＋y^2＝16 (2) x^2－y^2＝a^

Answer 1

1、（ρcosθ)^2+(ρsinθ)^2=16,

ρ^2=16,

ρ=4.

2、（ρcosθ)^2-(ρsinθ)^2=a^2,

ρ^2[(cosθ)^2-(sinθ)^2]=a^2,

ρ^2*cos2θ=a^2.