If x = 3 cot t – 2 cos^3 t, y = 3 sin t – 2 sin^3 t, find d^2y /dx^2

Question

If x = 3 cot t – 2 cos³ t, y = 3 sin t – 2 sin³ t, find \(\frac{d^2y}{dx^2}\)

Answer 1

Formula: –

given: –

x = 3 cot t – 2 cos³ t, y = 3 sin t – 2 sin³ t

differentiating both w.r.t t