Question #e7954

Question

1747 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-09-12T21:14:40

see below

Use the formulas $x = r cos θ, y = r sin θ$ $x=rcos theta, y=r sin theta$ and substitute into the given equation for x and y.

That is,

$x + 5 y = 3$ $x+5y=3$

$r cos θ + 5 r sin θ = 3$ $rcos theta+5rsin theta =3$

$r cos θ + 5 r sin θ - 3 = 0$ $rcos theta+5rsin theta -3 = 0$

or

$r (cos θ + 5 sin θ) = 3$ $r(cos theta+5sin theta)=3$

$r = \frac{3}{cos θ + 5 sin θ}$ $r=3/(cos theta + 5 sin theta)$