What is the Cartesian form of $(2,(3pi)/4)$ ?

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Answer 1 · 2017-01-05T16:56:47

$( -sqrt(2), sqrt(2) )$

The Cartesian equivalent of the polar coordinate $(r, theta)$ is $(rcos theta, r sin theta)$

So, $(2, (3pi)/4)$ is equivalent to:

$(2, (3pi)/4) rarr (2cos((3pi)/4), 2sin((3pi)/4))$
$" " =(2(-sqrt(2)/2), 2(sqrt(2)/2) )$
$" " =( -sqrt(2), sqrt(2) )$

What is the Cartesian form of (2,(3pi)/4)(2,(3pi)/4)?