What are the components of the vector between the origin and the polar coordinate $(5, (7pi)/12)$ ?

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Answer 1 · 2016-07-09T13:23:29

$x= 5*cos(7*pi/12) = -1.294095226.$
$y = 5*sin(7*pi/12) = 4.829629131.$

$(r;theta) = (5;7*pi/12).$
$x = r*cos(theta).$
$= 5*cos(7*pi/12) = -1.294095226.$
$y = 5*sin(7*pi/12) = 4.829629131.$

$"check: "r^2 = x^2+y^2 = 25$

What are the components of the vector between the origin and the polar coordinate (5, (7pi)/12)(5, (7pi)/12)?