Find , when

x = ae^θ (sin θ – cos θ),y = ae^θ(sinθ + cosθ)

as x = ae^θ (sin θ – cos θ)

Differentiating it with respect to θ

= a[e^θ(cos θ + sin θ) + (sin θ-cos θ)e^θ ]

……(1)

And , y = ae^θ(sinθ + cosθ)

Differentiating it with respect to θ,

= a[e^θ(cos θ - sin θ) + (sin θ + cos θ) e^θ]

……(2)

Dividing equation (2) by equation (1),