Hello!

I have a couple questions that are tricky, given a curve

for

1) show that the slope of the tangent to a curve C at theta is given by

-for this, I have started with the fact, x=rcos(theta) and y=rsin(theta), substituting the value of r to get dy/d(theta) and dx/d(theta), then their quotient would be dy/dx...? not sure if that is a solid approach..

2) Show that C has arc length that can be represented

thanks!!