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Answer :

Take into account that transformation from cartesian coordinates to polar coordiantes can be written as follow:

P(x,y) => P(r,θ)

To find the value if r, use:

[tex]r=\sqrt[]{x^2+y^2}=\sqrt[]{(-3)^2+(5)^2}=\sqrt[]{9+25}=\sqrt[]{34}[/tex]

To find the value of θ, use:

[tex]\theta=\tan ^{-1}(\frac{y}{x})=\tan ^{-1}(\frac{5}{-3})\approx-59.0[/tex]

Then, the polar coordinates of the points are:

r = √34

θ = -59.0