Question

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

Answer 1

`(x,y)-=(-5,0)`

Explanation:

Given:
`r=5`
`theta=pi`

`x=rcostheta`
`=>rcostheta=5cospi`
`=>cospi=-1`
`=>5cospi=5xx-1`
`=>rcostheta=color(blue)(-5)`

`y=rsintheta`
`=>rsintheta=5sinpi`
`=>sinpi=0`
`=>5sinpi=5xx0`
`=>rsintheta=color(blue)(0)`

`(x,y)-=(-5,0)`