Polar Coordinates

Question

Find all polar coordinates of Cartesian point (2, 2√3). Use radian angle measure.  

Answer 1

(x,y)=(2,2√3)

r=√(x^2+y^2)=√(4+12)=√16=4

θ=tan^-1(y/x)

θ=tan^-1(2√3/2)

θ=tan^-1(√3)

θ=60º (look on the unit circle at 60º and look at the coordinates (1/2, √3/2)

(r,θ)=(4,60º)

missed the radian angle measure...

60º=180º/3=pi/3

(r,θ)=(4,pi/3)