How do you convert the polar coordinate ( 8.2620 , 0.6653 ) into cartesian coordinates?

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How do you convert the polar coordinate ( 8.2620 , 0.6653 ) into cartesian coordinates?

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Answer 1 · 2015-09-13T17:34:18

$(6.5; 5.1)$ $(6.5;5.1)$

Explanation:

To convert polar co-ordinates $(r; θ)$ $(r;theta)$ , also written as $r ∠ θ$ $r/_ theta$ , into rectangular co-ordinates $(x; y)$ $(x;y)$ , also written as $x + i y$ $x + iy$ , make use of the following formula, which is as a result of standard trigonometry in the associated right-angled triangle that may be drawn in the Argand diagram we plotting the associated complex number. Remember that $θ$ $theta$ is in radianshere.

$x = r cos θ$ $x=rcostheta$
$y = r sin θ$ $y=rsintheta$

So in this case,
$x = 8, 2620 cos 0, 6653 = 6, 5$ $x=8,2620cos0,6653=6,5$
$y = 8, 2620 sin 0, 6653 = 5, 1$ $y=8,2620sin0,6653=5,1$

Alternatively, most scientific calculators can convert directly between rectangular and polar forms by just punching it in.

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How do you convert the polar coordinate ( 8.2620 , 0.6653 ) into cartesian coordinates?

1 Answer

Explanation:

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