What is the Cartesian form of $(-10,(13pi)/16)$ ?

Question

1380 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-04-15T18:31:45

$(8.315,5.556)$

Use the parametric form to find the $x$ and $y$ points. To convert from polar to parametric form, use these equations:

$x(t)=rcos(theta)$

$y(t)=rsin(theta)$

From our point, we can see that $r=-10$ and $theta=13pi/16$ . Plug into our formulas:

$x(13pi/16)=-10cos(16pi/16)~~8.315$

$y(13pi/16)=-10sin(16pi/16)~~-5.556$

So our point is $(8.315,5.556)$

What is the Cartesian form of (-10,(13pi)/16)(-10,(13pi)/16)?