The two pairs of polar coordinates are : [tex]( 3\sqrt{2}, 315^{0} ) , ( -3\sqrt{2}, 135^{0} )[/tex]
Polar coordinates are coordinates labeled as ( r, θ ) , where r = radial coordinate while θ is known as the angular coordinate. Polar coordinates are also plotted on a polar grid.
Using the given data
Point ( 3 , - 3 )
[tex]r = \sqrt{3^2 + (-3)^2} = 3\sqrt{2}[/tex]
θ =
[tex]tan^{-1} (\frac{-3}{3}) = \pi - \frac{\pi }{4} , 2\pi - \frac{\pi }{4} \\\\= 3\pi , \frac{7\pi }{4} , -\frac{\pi }{4}[/tex]
In degrees = 135° , 315° , -45° ( neglecting -45° )
Hence the two pairs of polar coordinates for the point ( 3 , -3 ) can be taken as ; [tex]( 3\sqrt{2}, 315^{0} ) , ( -3\sqrt{2}, 135^{0} )[/tex]
Learn more about polar coordinates here : https://brainly.com/question/16970032
