Find the equation of the tangent line to the curve r= 3 sin2 theta at theta= pi/3

Question

anonymous · Answer

attachment

anonymous · Answer

I have attached the slope of the curve

anonymous · Answer

What difficulty are you having?

anonymous · Answer

ummm i know the slope but like how wld u find the equation?

anonymous · Answer

like what points would you plug into the equation to find out what the y intercept equals?

anonymous · Answer

like i am not sure how it works with polar equations

anonymous · Answer

Like have you ever worked with polar equations?

anonymous · Answer

are you still there?

phi · Answer

use your equation to find r at theta = pi/3
the (x1,y1) of the tangent point is x1= r cos(pi/3),  y1= r sin(pi/3)
evaluate m= dy/dx at theta = pi/3.  
use
y - y1 = m(x - x1)

anonymous · Answer

ohhhh i get it :D I am so stupid lol