What are the components of the vector between the origin and the polar coordinate (5,11π6)?

1 Answer
Jan 27, 2018

We can use x=rcos(θ) and y=rsin(θ) to convert to the polar point to rectangular:

x=5cos(11π6)=5(32)=532
y=5sin(11π6)=5(12)=52

So the rectangular form is (532,52).

Since we're talking about the component form of the vector, the initial point is (0,0).

The component form of the vector is [532,52].