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How do you write the rectangular coordinates for the point: (4, 3π/2)?

1 Answer

Jan 21, 2016

Polar coordinates $(4, \frac{3 π}{2}) \Leftrightarrow$ $(4,(3pi)/2) hArr$ Rectangular coordinates $(0, - 4)$ $(0,-4)$

Explanation:

Any polar coordinate $(r, θ)$ $(r,theta)$ with $θ = \frac{3 π}{2}$ $theta = (3pi)/2$ and $r = 4$ $r=4$
$XXX$ $color(white)("XXX")$ falls along the negative y-axis
$XXX$ $color(white)("XXX")$ at a distance of $4$ $4$ from the origin.

Since this point is on the y-axis, $x = 0$ $x=0$
and
since it is a distance of $4$ $4$ down the y-axis from the origin, $y = - 4$ $y=-4$

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