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Convert the complex number z=(i-1)/(cosp...

Convert the complex number `z=(i-1)/(cospi/3+isinpi/3)`in the polar form.

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To convert the complex number \( z = \frac{i - 1}{\cos \frac{\pi}{3} + i \sin \frac{\pi}{3}} \) into polar form, we will follow these steps: ### Step 1: Simplify the Denominator First, we need to evaluate the trigonometric functions in the denominator: \[ \cos \frac{\pi}{3} = \frac{1}{2}, \quad \sin \frac{\pi}{3} = \frac{\sqrt{3}}{2} \] Thus, we can rewrite the denominator: ...
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