Writing equation in polar coordinates for tangent circle

209 Views Asked by At

How can I write the equation for this tangent circle? enter image description here

Fundamental circle is $r=3\sin(\theta)$ and I also find the tangent line for $\theta = \frac{\pi}{3}$

And the tangent line to the circle is:

$y=-\sqrt{3}x+\frac{9}{2}$ And that is:

enter image description here

I wonder how can I write the circle equation in polar coordinates for the circle which center is C. Thanks!