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

1 Answer
Shwetank Mauria
Jul 3, 2016

Polar coordinates are (2sqrt2,(5pi)/4)(2√2,5π4)

Explanation:

If (x,y)(x,y) are Cartesian coordinates and (r,theta)(r,θ) are corresponding polar coordinates, the relation between them is given by x=rcosthetax=rcosθ and y=rsinthetay=rsinθ.

Hence for point (-2,-2)(−2,−2),

r=sqrt(x^2+y^2)=sqrt((-2)^2+(-2)^2)=sqrt(4+4)=sqrt8=2sqrt2r=√x2+y2=√(−2)2+(−2)2=√4+4=√8=2√2

and sintheta=costheta=2sqrt2/(-2)=-1/sqrt2sinθ=cosθ=2√2−2=−1√2

Hence theta=(5pi)/4θ=5π4

and polar coordinates are (2sqrt2,(5pi)/4)(2√2,5π4)

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