Convert the point (2,π/3)from polar to Cartesian coordinates?

Question

Convert the point (2,π/3)from polar to Cartesian coordinates?

1 Answer

Impact of this question

13175 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-27T20:44:20

The polar coordinates $(2, pi/3)$ is approximately $color(maroon)(((1, sqrt3)))$ in Cartesian form.

Explanation:

To convert a pair of coordinates $(r, theta)$ in polar form to Cartesian coordinates, we use the equations $x = cos(theta)*r$ and $y=sin(theta)*r$ .

![https://study.com/academy/lesson/http://trigonometric-function-values-of-special-angles.html](https://useruploads.socratic.org/Js2cZNKRTcKjILnsbFUu_trigonometric%20values.jpg)

Plugging in $2$ for $r$ and $pi/3$ for $theta$ :

$x = cos(pi/3)*2$

$x ~~ color(maroon)((1/2)) * 2 color(green)(" as " cos (pi/3) = (1/2)$

$x ~~ color(maroon)(1)$

$y = sin(pi/3)*2$

$y ~~ color(maroon)(sqrt3/2) * 2color(green)(" as " cos (pi/3) = (1/2)$

$y ~~color(maroon)(sqrt3 = 1.732$

Science

Math

Humanities

... and beyond

Convert the point (2,π/3)from polar to Cartesian coordinates?

1 Answer

Explanation:

Related questions

Impact of this question