I'm really struggling with this question
Hey.
Cartesian Co-ords are the the one on the (x,y) graphs that you regularly work with.
Where polar Co-ords where each point is referenced from a fixed point and a angle (r,$\displaystyle \theta $)
So to convert between them there is a formula.
$\displaystyle x = r cos ( \theta )$
$\displaystyle y = r sin ( \theta )$
$\displaystyle r = \sqrt{y^2 + x^2}$
So with 2a
your answer would be (2cos( $\displaystyle \pi /3$),2sin ( $\displaystyle \pi /3$))
Then
2b
r = $\displaystyle \sqrt{2^2 + 2^2}$
$\displaystyle \theta $= tan $\displaystyle 2/2$
I Used tan because I personally find it easier to visualise in my head. the co-ord is 2 along the x and 2 along the y direction.
($\displaystyle \sqrt{8},45^\circ $)
Also you can simply convert the 45 degrees to radians if needed.
2 c,d I have never seen those before So I'll let someone more experienced to help there.