calculate dy/dx as a function of theta. determine the polar coordinates (r,theta), of any horizontal and vertical tangents, and convert them to Cartesian coordinates. for the fucntion
r(theta)=(4/(3-sin(theta)))

Question

calculate dy/dx as a function of theta. determine the polar coordinates (r,theta), of any horizontal and vertical tangents, and convert them to Cartesian coordinates. for the fucntion 
r(theta)=(4/(3-sin(theta)))

anonymous · Answer

$\large \frac{dy}{dx}=\frac{dy/d\theta}{dx/d\theta} $
where x=rcos(theta) and y=rsin(theta)

since $\large r(\theta)=\frac{4}{3-sin\theta} $, then

$\large x=\frac{4cos\theta}{3-sin\theta} $, and  $\large y=\frac{4sin\theta}{3-sin\theta} $

can you calculate dy/d(theta) and dx/d(theta) from here?

anonymous · Answer

Im struggling to solve for dy/d(theta) and dx/d(theta) from here. would you use the quotient rule on to find the derivatives for each x and y functions?