Question

If x=rcostheta ,y=rsintheta
then
dx dy = ?​

Answer 1

Answer:

dx/dy = -tan∅

Step-by-step explanation:

x = rcos∅

diff.w.r.to.∅,

dx/d∅ = -rsin∅

y = rsin∅

diff.w.r.to.∅,

dy/d∅ = rcos∅

dx/dy = (dx/d∅)/(dy/d∅)

= -rsin∅/rcos∅

= -tan∅