What is the Cartesian form of $(- 10, \frac{- 17 π}{16}))$ $(-10,(-17pi)/16))$ ?

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Answer 1 · 2017-08-08T18:01:06

$(15.693, - 3.121)$ $(15.693, -3.121)$

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,

So we have

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

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

The Cartesian coordinate is thus

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

What is the Cartesian form of (-10,(-17pi)/16))(−10,−17π16))(-10,(-17pi)/16))?