# What is the polar form of #( -4,-2 )#?

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The polar form of the complex number (-4, -2) is given by: [ |z|(\cos(\theta) + i\sin(\theta)) ] where: [ |z| = \sqrt{(-4)^2 + (-2)^2} = \sqrt{16 + 4} = \sqrt{20} = 2\sqrt{5} ] [ \tan(\theta) = \frac{-2}{-4} = \frac{1}{2} ] [ \theta = \tan^{-1} \left(\frac{1}{2}\right) ] [ \theta \approx 26.565^\circ ] Thus, the polar form of (-4, -2) is ( 2\sqrt{5} \left(\cos(26.565^\circ) + i\sin(26.565^\circ)\right) ).

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