If x = a(θ - sin θ) and y = a(1 + cos θ). Find at .

Given: x = a(θ – sin θ) and y = a(1 + cos θ)

To find:

x = a(θ – sin θ)

Differentiating both sides with respect to θ:

Again differentiating both sides with respect to θ:

y = a(1 – cos θ)

Differentiating both sides with respect to θ:

Again differentiating both sides with respect to θ:

Now, Put :