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

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Answer 1 · 2018-03-21T15:46:36

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

Given:
$r=5$
$theta=pi$

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

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

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

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