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## Homework Statement

Hello all,

I encountered this practice problem for my midterm tomorrow involving the gradient operation.

Let (r, θ) denote the polar coordinates and (x, y) denote the cartesian coordinates of a point P in the plane. A function is defined via f(P)=xsinθ away from the origin, and let f(O)=0 at the origin O.

Find f(x, y)

Also, is the inequality [tex]|\nabla f|\leq \sqrt{2}[/tex] true( at all points where the gradient is defined)?

Not sure at all how to go about starting this one.