What are the components of the vector between the origin and the polar coordinate $(15, \frac{π}{6})$ $(15, pi/6)$ ?

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Answer 1 · 2016-01-28T11:31:06

$(\frac{15 \sqrt{3}}{2}, 0)$ $((15sqrt3)/2, 0)$ and $(7.5, \frac{π}{2})$ $(7.5, pi/2)$

$r_{x} = 15 cos (\frac{π}{6}) = \frac{15 \sqrt{3}}{2}$ $r_x=15 cos (pi/6)=(15sqrt3)/2$ and $θ_{x} = 0$ $theta_x=0$

$r_{y} = 15 sin (\frac{π}{6}) = 7.5$ $r_y=15 sin (pi/6)=7.5$ and $θ_{y} = \frac{π}{2}$ $theta_y=pi/2$

What are the components of the vector between the origin and the polar coordinate (15,π6)(15, pi/6)?