What is the Cartesian form of $( 5, (-7pi)/3 )$ ?

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Answer 1 · 2017-12-09T17:39:26

$(5/2,-(5sqrt3) /2 )$

We converting from polar to cartesian:

Polar: $(r, theta)$

Cartesian: $(rcos theta, rsin theta )$

Hence the cartesian will be:

$(5cos((-7pi)/3) , 5sin( (-7pi)/3 ) )$

Hence evaluating on a calculator or using your trig values yields:

$(5/2 , -(5sqrt3) /2 )$

What is the Cartesian form of ( 5, (-7pi)/3 ) ( 5, (-7pi)/3 ) ?