What is the Cartesian form of (-10,(-17pi)/16))?

1 Answer
Aug 8, 2017

(15.693, -3.121)

Explanation:

We're asked to find the Cartesian (rectangular) form of a given polar coordinate.

To do this, we use the equations

ul(x = rcostheta

ul(y = rsintheta

In this case,

  • r = -10

  • theta = (-17pi)/16

So we have

x = -16cos((-17pi)/16) = ul(15.693

y = -16sin((-17pi)/16) = ul(-3.121

The Cartesian coordinate is thus

color(blue)(ulbar(|stackrel(" ")(" "(15.693, -3.121)" ")|)