How do you write the following in trigonometric form and perform the operation given 4(1−√3i)?

1 Answer
Narad T.
Oct 28, 2016

The trigonometric form is z=8(cos(−π3)+isin(−π3))

Explanation:

let z=4(1−i√3)
The trigonometric form is z=r(cosθ+isinθ)
Rewriting z=8(12−i√32)

Comparing this to the first equation
cosθ=12 and sinθ=−√32
So we are in the 4th quadrant
and θ=−π3

So the trigonometric form is z=8(cos(−π3)+isin(−π3))

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