# find d2y/dx2 (independent of t) of the function defined paramaterically as x = sin (ln t) and y = cos (ln t)

BALAJI ANDALAMALA
askIITians Faculty 78 Points
6 years ago
x = sin(lnt) and y=cos(lnt)


The equation satisfies the above two parametric equations is x^2+y^2=1.

Differentiating with respect to x , we get


Again differentiating equation (1) with respect to x, we get