What are the components of the vector between the origin and the polar coordinate $(3, \frac{7 π}{12})$ $(3, (7pi)/12)$ ?

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What are the components of the vector between the origin and the polar coordinate $(3, \frac{7 π}{12})$ $(3, (7pi)/12)$ ?

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Answer 1 · 2016-03-12T10:34:21

$r = 3 and θ = 7 \frac{π}{12}$ $r=3 and theta=7pi/12$
components are
$r cos θ = 3 cos (7 \frac{π}{12}) = - 0.776$ $rcostheta=3cos(7pi/12)=-0.776$
$r sin θ = 3 sin (7 \frac{π}{12}) = 2.89$ $rsintheta=3sin(7pi/12)=2.89$

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What are the components of the vector between the origin and the polar coordinate $(3, \frac{7 π}{12})$ $(3, (7pi)/12)$ ?

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What are the components of the vector between the origin and the polar coordinate $(3, \frac{7 π}{12})$ $(3, (7pi)/12)$ ?