How do you convert polar to rectangular coordinates: $(2, 3pi/4)$ ?

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Answer 1 · 2015-12-28T21:29:49

$-1,142+1,414i$

For a complex number $(r,theta)$ in polar form, we may convert it to rectangular form $(x,y)=x+iy$ as follows :

$x=rcostheta$
$y=rsintheta$

So in this particular case we get

$x=2cos((3pi)/4)-1,142$

$y=2sin((3pi)/4)=1,414$

How do you convert polar to rectangular coordinates: (2, 3pi/4)(2, 3pi/4)?