Question

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

Answer 1

I have attached the slope of the curve

Answer 2

What difficulty are you having?

Answer 3

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

Answer 4

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

Answer 5

like i am not sure how it works with polar equations

Answer 6

Like have you ever worked with polar equations?

Answer 7

are you still there?

Answer 8

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)

Answer 9

ohhhh i get it :D I am so stupid lol