Question

Find the slope of the normal to the curve x = 1 − a sin θ, y = b cos²θ at θ=π/2

Answer 1

It is given that x = 1 − a sin θ and y = b cos²θ.

Therefore, the slope of the tangent at θ = π/2 is given by,

Hence, the slope of the normal at θ= π/2 is given by,