Hello, sfgiants13!
You're expected know (or be able to derive) that the slope formula is:Find the slope of the tangent to
. . . . . .[1]
We have:.
Substitute into [1]: .
Let .
Therefore: .
r=cos[theta/3], theta=pi
So dy/dx is dy/d theta / dx/d theta and x=rcos theta, y=rsin theta and i found the derivatives of each which gave me:
x=1/3(-sin 2th/3)-2sin(4th/3)
y=1/3((cos(2th/3)+2cos(4th/3))
I'm kinda stumped here. I have dy/dx as a big mess but I don't know what to do from here.