What is the Cartesian form of $( -2 , ( 7pi)/3 )$ ?

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Answer 1 · 2018-04-20T02:40:21

The Cartesian form is $(-1, -sqrt(3))$

$x=rcostheta$

$=-2cos((7pi)/3)$

$=-2cos((7pi)/3-2pi)$

$=-2cos((7pi-6pi)/3)$

$=-2cos(pi/3)$

$=-2(1/2)=-1$

$y=rcostheta$

$=-2sin((7pi)/3)=-2sin(pi/3)=-2(sqrt(3)/2)=-sqrt(3)$

The Cartesian form is $(-1, -sqrt(3))$

What is the Cartesian form of ( -2 , ( 7pi)/3 ) ( -2 , ( 7pi)/3 ) ?