How do you convert $(18, - 7)$ $(18,-7)$ into polar coordinates?

Question

What is the formula for converting polar coordinates to rectangular coordinates?
How do I convert polar coordinates $(5, 30^{\circ})$ $(5, 30^circ)$ to rectangular coordinates?
How do I convert polar coordinates $(3.6, 56.31)$ $(3.6, 56.31)$ to rectangular coordinates?
How do I convert polar coordinates $(10, - \frac{π}{4})$ $(10, -pi/4)$ to rectangular coordinates?
How do I convert polar coordinates $(4, - \frac{π}{3})$ $(4,-pi/3)$ to rectangular coordinates?
How do I convert polar coordinates $(6, 60^{\circ})$ $(6, 60^circ)$ to rectangular coordinates?
How do I convert polar coordinates $(- 4, 230^{\circ})$ $(-4, 230^circ)$ to rectangular coordinates?
What is the Cartesian equivalent of polar coordinates $(\sqrt{97}, 66^{\circ})$ $(sqrt97, 66^circ)$ ?
What is the Cartesian equivalent of polar coordinates $(2, \frac{π}{6})$ $(2, pi/6)$ ?
What is the Cartesian equivalent of polar coordinates $(7, π)$ $(7, pi)$ ?

1782 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-10-27T12:14:39

Cartesinan: $(x, y) = 18, - 7) \to$ $(x,y)=18,-7) rarr$ Polar: $(r, θ) = (19.31, - 0.37)$ $(r,theta)=(19.31,-0.37)$
$θ$ $theta$ given rn *radians#

$radius = \sqrt{18^{2} + {(- 7)}^{2}} \approx 19.31321$ $"radius" = sqrt(18^2+(-7)^2) ~~19.31321$ (using a calculator)

$θ = arctan (- \frac{7}{18}) \approx - 0.37089$ $theta = "arctan"(-7/18) ~~-0.37089$ (again with teh calculator)

How do you convert (18,−7)(18,-7) into polar coordinates?