What are the components of the vector between the origin and the polar coordinate $(-2, pi/3)$ ?

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Answer 1 · 2018-07-25T06:45:56

$color(brown)((x,y) = (-1, - sqrt3), " III Quadrant"$

$(r, theta) = (-2, (pi)/3)$

$x = r cos theta = -2 * cos ((pi)/3) = -1$

$y = r sin theta = -2 * sin ((pi)/3) ~~ -sqrt 3$

What are the components of the vector between the origin and the polar coordinate (-2, pi/3)(-2, pi/3)?