What are the components of the vector between the origin and the polar coordinate $(15, (-pi)/4)$ ?

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Answer 1 · 2016-06-29T15:18:57

$x=(15sqrt2)/2$
$y=(-15sqrt2)/2$

$x=r*cos theta=15*cos (-pi/4)=(15sqrt2)/2$

$y=r*sin theta=15*sin (-pi/4)=(-15sqrt2)/2$

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What are the components of the vector between the origin and the polar coordinate (15, (-pi)/4)(15, (-pi)/4)?