Parametric : Calculate the exact polar and rectangular coordinates of the point on S where theta = pi/6

[Arty]

Let S be defined by r=2sin(3theta)

I have no idea where to even start

 

[Dr.Peterson]

Calculate the exact polar and rectangular coordinates of the point on S where theta = pi/6
Let S be defined by r=2sin(3theta)

I have no idea where to even start

Well, since you're told what [MATH]\theta[/MATH] is, and that [MATH]r=2\sin(3\theta)[/MATH], you can start by plugging it in and finding the value of [MATH]r[/MATH].

Then you can look up how to find [MATH]x[/MATH] and [MATH]y[/MATH] given [MATH]r[/MATH] and [MATH]\theta[/MATH].