What is the Cartesian form of $(-21,(88pi) /12)$ ?

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Answer 1 · 2015-11-21T12:38:08

polar form: $(-21,(88pi)/12) <=>$ Cartesian form: $(21/2,(21sqrt(3))/2)$

$(88pi)/12= (84pi)/12+(4pi)/12= 3(2pi)+pi+pi/3$

Polar form: $(-21,(88pi)/12) = (-21,pi+pi+3)=(21,pi/3)$

$r=21$
$theta=pi/3$

$x=rxxcos(theta)= 21xx1/2 = 21/2$

$y=rxxsin(theta) = 21xxsqrt(3)/2= (21sqrt(3))/2$

What is the Cartesian form of (-21,(88pi) /12)(-21,(88pi) /12)?