What are the components of the vector between the origin and the polar coordinate $(5, (23pi)/12)$ ?

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Answer 1 · 2018-02-27T06:16:22

Rectangular coordinates $color(green)((4.8296, -1.2941)$

To find the Cartesian coordinates, given the polar coordinates.

$(r, theta) => (5, (23pi)/12)$

$x = r cos theta = 5 cos ((23pi)/12) = 4.8296$

$y = r sin theta = 5 * sin ((23pi)/12) = -1.2941$

$tan theta = tan ((23pi)/12) = -0.2679$

What are the components of the vector between the origin and the polar coordinate (5, (23pi)/12)(5, (23pi)/12)?