Final answer:
The polar form of 7√3 - 7i is 14(cos(tan^(-1)(-7/(7√3))) + i*sin(tan^(-1)(-7/(7√3)))).
Step-by-step explanation:
To find the polar form of a complex number, we can express it in terms of its magnitude and angle. Let's consider the complex number 7√3 - 7i. To find its magnitude, we can use the Pythagorean theorem. The magnitude is √((7√3)^2 + (-7)^2) = √(147 + 49) = √196 = 14.
Next, we can find the angle by using the inverse tangent function. The angle is given by tan^(-1)(-7/(7√3)).
Therefore, the polar form of 7√3 - 7i is 14(cos(tan^(-1)(-7/(7√3))) + i*sin(tan^(-1)(-7/(7√3)))).