Given the transformation x=rcosθx = r \cos \thetax=rcosθ and y=rsinθy = r \sin \thetay=rsinθ, what is the Jacobian determinant J=∂(x,y)∂(r,θ)J = \frac{\partial(x, y)}{\partial(r, \theta)}J=∂(r,θ)∂(x,y)?
rrr
111
r2r^2r2
cosθsinθ\cos \theta \sin \thetacosθsinθ