How do you convert (0, −4) into polar form?

1 Answer
Narad T.
Oct 26, 2016

The polar coordinates are (4,(3pi)/2)

Explanation:

Use the definition
x=rcostheta
y=rsintheta
x^2+y^2=r^2

tantheta=y/x

where (x,y)are the cartesian coordinates
and (r,theta)are the polar coordinates
Here we have tantheta=-4/0=-oo
So theta=(3pi)/2
and r^2=0+16 => r=4
So the polar coordinates are (4,(3pi)/2)

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