What is the Cartesian form of $(- 1, \frac{7 π}{3})$ $( -1 , ( 7pi)/3 )$ ?

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Answer 1 · 2017-11-06T02:52:16

$(- \frac{1}{2}, - \frac{\sqrt{3}}{2})$ $(-1/2,-sqrt3/2)$

$x = r cos θ$ $x = rcostheta$
$x = (- 1) \frac{cos (7 π)}{3}$ $x = (-1)cos(7pi)/3$
$x = - \frac{1}{2}$ $x=-1/2$

$y = r sin θ$ $y = rsintheta$
$y = (- 1) \frac{sin (7 π)}{3}$ $y = (-1)sin(7pi)/3$
$y = - \frac{\sqrt{3}}{2}$ $y= -sqrt3/2$

What is the Cartesian form of (−1,7π3)( -1 , ( 7pi)/3 ) ?