Convert the polar coordinates (-4, (5π)/6) to Cartesian coordinates.

Mgttlinger asked Feb 7, 2023

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Mgttlinger asked Feb 7, 2023

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19 votes

We will ahve the following:

$(-4,(5\pi)/(6))$

First: We determine the x and y components:

*x-component:

$x=-4\cos ((5\pi)/(6)\cdot(180)/(\pi))\Rightarrow x=2\sqrt[]{3}$

*y-component:

$y=-4\sin ((5\pi)/(6)\cdot(180)/(\pi))\Rightarrow y=-2$

So, the cartesian equivalent is:

$(2\sqrt[]{3},-2)$

Arijit answered Feb 11, 2023

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