What are the components of the vector between the origin and the polar coordinate $(4, (3pi)/2)$ ?

Question

1356 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-01-04T16:40:59

Horizontal component $x=0$
Vertical component $y=-4$

For a vector $(r,theta)$ in polar form, the rectangular components are given by

$x=rcostheta and y=rsintheta$ .

So in this case, the horizontal component is given by $x=4cos((3pi)/2)=0$ .

The vertical component is then $y=4sin((3pi)/2)=-4$ .

What are the components of the vector between the origin and the polar coordinate (4, (3pi)/2)(4, (3pi)/2)?