What is the Cartesian equivalent of polar coordinates $(7, pi)$ ?

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Answer 1 · 2014-10-01T22:01:54

In this problems we know that $(r,theta)->(7,pi)$ .

We also know the following equations are used to convert polar coordinates to rectangular coordinates.

$(x,y)->(rcos(theta),rsin(theta))$

Substitute in the values for $r$ and $theta$

$(x,y)->(7cos(pi),7sin(pi))$

Remember back to the unit circle

$cos(pi)=-1$
$sin(pi)=0$

Substitute in those values

$(x,y)->(7(-1),7(0))$

Simplify

$(x,y)->(-7,0)$

What is the Cartesian equivalent of polar coordinates (7, pi)(7, pi)?