What are the components of the vector between the origin and the polar coordinate $(-1, (11pi)/12)$ ?

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Answer 1 · 2018-02-27T05:14:35

$x = -1 * cos ((11pi)/12) )= color (green)(0.9659)$

$y = -1 * sin ((11pi)/12) )= color (red)(-0.2588$

We can use the following formulas to convert polar to Cartesian coordinates.

$x = r cos theta, y = r sin theta$

$Given : [r,theta] = [-1, (11pi)/12]$

$x = -1 * cos ((11pi)/12) )= color (green)(0.9659)$

$y = -1 * sin ((11pi)/12) )= color (red)(-0.2588$

$tan theta = tan ((7pi)/12) = -3.732$

What are the components of the vector between the origin and the polar coordinate (-1, (11pi)/12)(-1, (11pi)/12)?