How do you convert the polar coordinate (2, pi/4) into cartesian 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 $(7, π)$ $(7, pi)$ ?

5320 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-09-15T02:58:25

$(\sqrt{2}, \sqrt{2})$ $(sqrt 2, sqrt 2)$

$x = R cos t = 2 cos \frac{π}{4}$ $x = R cos t = 2 cos frac {pi}{4}$

$y = R sin t = 2 sin \frac{π}{4}$ $y = R sin t = 2 sin frac{pi}{4}$