Question

find d^2y/dx^2 , if x=a cos t , y= b sin t​

Answer 1

Answer:

Ans :- - b/a(cosec^3t)

Step-by-step explanation:

x=a cos t

dx/dt= a(-sin t) = -a sint

y= b sin t

dy/dt=b cost

dy/dx=b cost/-a sint=-b/a cot t

d^2y/dx^2= - b/a(-cosec^2t)dt/dx

= b/a(cosec^2 t) (-1/sint)

=b/a(-cosec^3t)

=-b/a(cosec^3 t)