Express the complex number in trigonometric form.

-6 + 6\sqrt(3) i

Step-by-step explanation:

The rectangular form of a complex number is expressed as z = x+iy

where the modulus |r| = and the argument

In polar form, x =

Given the complex number, . To express in trigonometric form, we need to get the modulus and argument of the complex number.

For the argument;

Since tan is negative in the 2nd and 4th quadrant, in the 2nd quadrant,

z = 12(cos120°+isin120°)

This gives the required expression.

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