find the polar form of the complex number: square root 3 minus square root 3i

sqrt3 - sqrt3i.

tanA = -sqrt3 / sqrt3 = -1,
A = -45 deg.

M=sqrt3/cosA=sqrt3 / cos(-45) = 2.4495. = Magnitude.

Polar Form: (2.4495,-45deg).

To find the polar form of a complex number, we need to determine its magnitude (r) and argument (θ).

Step 1: Determine the magnitude (r):
The magnitude of a complex number can be found using the formula:
|r| = √(real^2 + imaginary^2)

Given the complex number √3 - √3i, the real part is √3 and the imaginary part is -√3.
|r| = √(√3^2 + (-√3)^2)
|r| = √(3 + 3)
|r| = √6

Step 2: Determine the argument (θ):
The argument of a complex number can be found using the formula:
θ = arctan(imaginary / real)

Given the complex number √3 - √3i, the real part is √3 and the imaginary part is -√3.
θ = arctan((-√3) / √3)
θ = arctan(-1)
θ = -π/4

Step 3: Write the complex number in polar form:
The polar form of a complex number is written as: r(cos(θ) + i(sin(θ)))

Using the values we found in steps 1 and 2, the polar form of the complex number √3 - √3i is:
√6(cos(-π/4) + i(sin(-π/4)))