How do I convert polar coordinates $(4,-pi/3)$ to rectangular coordinates?

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Answer 1 · 2014-09-30T04:15:12

$(r,theta)->(4,(-pi)/3)$

Polar to Rectangular

$x=rcos(theta)=4cos((-pi)/3)=4(1/2)=2$

$y=rsin(theta)=4sin((-pi)/3)=4(-sqrt(3)/2)=-2sqrt(3)$

$(r,theta)->(4,(-pi)/3)$

$(x,y)->(2, -2sqrt(3))$

How do I convert polar coordinates (4,-pi/3)(4,-pi/3) to rectangular coordinates?