Answer:
<h2>12(cos120°+isin120°)</h2>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.
The statements that would complete the proof where ∠2 ≅ ∠7 by the transitive property are:
∠2 ≅ ∠3
∠3 ≅ ∠7
<h3>What is the Transitive Property?</h3>The transitive property states that if x = y, and y = z, then x = z.
From the image given below, we have:
∠2 ≅ ∠3 because they are vertical angles which must be congruent.
∠3 ≅ ∠7 because corresponding angles are congruent.
Applying the transitive property, we can state that: ∠2 ≅ ∠7.
Therefore, the statements that would complete the proof are:
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