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

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Answer 1 · 2018-02-27T08:13:10

$\to V$ $vec V$ .. $(5.1962, 6)$ $color(maroon)((5.1962, 6)$

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Given $r = - 6, θ = - \frac{π}{6}$ $r = -6, theta = -pi/6$

$x = r cos θ = - 6 \cdot cos - (\frac{π}{6}) = - 5.1962$ $x = r cos theta = - 6 * cos -(pi/6) = - 5.1962$

$y = r sin θ = - 6 \cdot sin (- \frac{π}{6}) = 3$ $y = r sin theta = - 6 * sin (-pi/6) = 3$

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