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Find the argument of the complex number 0, minus, 6, i0−6i in the interval 0, degrees, is less than or equal to, theta, is less than, 360, degrees0 ∘ ≤θ<360 ∘ , rounding to the nearest tenth of a degree if necessary.Answer

Question

Find the argument of the complex number 0, minus, 6, i0−6i in the interval 0, degrees, is less than or equal to, theta, is less than, 360, degrees0 ∘ ≤θ<360 ∘ , rounding to the nearest tenth of a degree if necessary.Answer

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Solution

The complex number given is 0 - 6i. This number lies on the negative y-axis in the complex plane.

The argument of a complex number is the angle it makes with the positive x-axis.

Since the complex number lies on the negative y-axis, it makes an angle of 270 degrees with the positive x-axis.

So, the argument of the complex number 0 - 6i is 270 degrees.

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