Find the polar coordinates of the point with rectangular coo

Find the polar coordinates of the point with rectangular coordinates (-squareroot 2, squareroot 2).

Solution

x=-2, y =2

r =[x2+y2]

r =[2+2]

r=2

point in second quadrant so

=- tan-1(2/2)

=- tan-1(1)

=-(/4)

=(3/4)

polar coordinates (r,) =(2,3/4)

 Find the polar coordinates of the point with rectangular coordinates (-squareroot 2, squareroot 2).Solutionx=-2, y =2 r =[x2+y2] r =[2+2] r=2 point in second q

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