What are the components of the vector between the origin and the polar coordinate $(-9, (5pi)/6)$ ?

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Answer 1 · 2016-03-07T21:20:07

$x=9*sqrt3/2$
$y=-9/2$

$r=-9" "theta=(5pi)/6$
$x=r*cos theta" "y=r*sin theta$
$theta=(5pi)/6*180/pi=150^o$
$x=-9*cos 150$
$x=9*sqrt3/2$
$y=-9*sin150$
$y=-9*1/2$
$y=-9/2$

What are the components of the vector between the origin and the polar coordinate (-9, (5pi)/6)(-9, (5pi)/6)?