Rectangular Coordinates to Polar Coordinates...1

Can you do 4 as a guide for me to do the other two?

 

4.
(3,sqrt(3)) to polar (r,θ)

r=sqrt(x^2+y^2)
r=sqrt(3^2+(sqrt(3)^2)
r=sqrt(9+3)
r=sqrt(12)
r=sqrt(4*3)
r = 2 sqrt(3)

θ =tan^-1(sqrt(3)/3)

θ = π/6

polar coordinates:

(2sqrt(3) , π/6)

 

Thanks again. I truly appreciate all you do for me.

 

You say?

 

5. correct
6. correct

 

Thank you. We are so close to Calculus 1. Are you not excited?