What is the Cartesian form of $(12,(12pi)/3))$ ?

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Answer 1 · 2016-11-01T15:25:11

Cartesian form: $(color(blue)(12,0))$

The Cartesian form $(x,y)$ of the polar coordinates $(12,(12pi)/3)$

$color(blue)(x=rcostheta)=12xxcos((12pi)/3)=12xxcos(4pi)=12xx1$
$color(blue)(x=12$

$color(blue)(y=rsintheta)=12xxsin((12pi)/3)=12xxsin(4pi)=12xx0$
$color(blue)(y=0$

Cartesian form of polar coordinates $(12,(12pi)/3)$ is $(color(blue)(12,0))$

What is the Cartesian form of (12,(12pi)/3))(12,(12pi)/3))?