What is the Cartesian form of $(-49,(-3pi)/4)$ ?

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Answer 1 · 2017-10-13T07:14:08

$(34.648,34.648)$

$color(blue)("For " x$ :

$color(blue)(x = r cos theta$
$color(blue)(x = (-49)* cos((-3pi)/4)$
$color(blue)(x = 49/sqrt2=34.64823...$

$color(red)("For " y :$

$color(red)(y = r sintheta$
$color(red)(y = (-49)* sin((-3pi)/4)$
$color(red)(y = (49)/sqrt2=34.64823...$

The answer is (Rounded off) $-> (color(blue)(34.648,color(red)(34.648)))$

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What is the Cartesian form of (-49,(-3pi)/4)(-49,(-3pi)/4)?