Find , when
x = aeθ (sin θ – cos θ),y = aeθ(sinθ + cosθ)
as x = aeθ (sin θ – cos θ)
Differentiating it with respect to θ
= a[eθ(cos θ + sin θ) + (sin θ-cos θ)eθ ]
……(1)
And , y = aeθ(sinθ + cosθ)
Differentiating it with respect to θ,
= a[eθ(cos θ - sin θ) + (sin θ + cos θ) eθ]
……(2)
Dividing equation (2) by equation (1),