How do you convert $X + Y = 0$ $X + Y = 0$ into polar form?

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Answer 1 · 2016-06-04T19:42:35

$θ = - \frac{π}{4}, \forall r \in R$ $theta = -pi/4, forall r in R$

The pass equations

${ (x = r cos(theta)), (y = r sin(theta)) :}$

substituting

$r cos(theta) + r sin(theta) = 0$
$r(cos(theta)+sin(theta))=0$
$forall r ->tan(theta) = -1$

solving

$theta = -pi/4+k pi, k = 0,1,2,3...$

then

$theta = -pi/4, forall r in R$

How do you convert X + Y = 0X+Y=0X + Y = 0 into polar form?