SOLUTION: Write the complex number z = 2 - 2i in its polar form: (r , theta).

The modulus is   = .


The argument is   = arctan(-1) = -45° = - .


The polar form of the given complex number is any of these two forms


    2 - 2i =  = 

or

    2 - 2i = (,-45°) = (,).