What is the Cartesian form of $(18,(-51pi)/8))$ ?

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Answer 1 · 2017-07-07T13:15:03

$(6.888, -16.630)$

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

To do this, we can use the equations

$x = rcostheta$

$y = rsintheta$

So

$x = 18cos((-51pi)/8) = color(red)(6.888$

$y = 18sin((-51pi)/8) = color(blue)(-16.630$

The rectangular form is thus

$(color(red)(6.888), color(blue)(-16.630))$

What is the Cartesian form of (18,(-51pi)/8))(18,(-51pi)/8))?