How do you convert (-2,-2) into polar form?

1 Answer
Shwetank Mauria
Jul 3, 2016

Polar coordinates are (2sqrt2,(5pi)/4)

Explanation:

If (x,y) are Cartesian coordinates and (r,theta) are corresponding polar coordinates, the relation between them is given by x=rcostheta and y=rsintheta.

Hence for point (-2,-2),

r=sqrt(x^2+y^2)=sqrt((-2)^2+(-2)^2)=sqrt(4+4)=sqrt8=2sqrt2

and sintheta=costheta=2sqrt2/(-2)=-1/sqrt2

Hence theta=(5pi)/4

and polar coordinates are (2sqrt2,(5pi)/4)

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