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Find the modulus and of the amplitude of...

Find the modulus and of the amplitude of the complex numbers:
`(1+i)/(1-i)`

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AI Generated Solution

To solve the problem of finding the modulus and amplitude of the complex number \((1+i)/(1-i)\), we will follow these steps: ### Step 1: Multiply by the Conjugate We start with the complex number \(\frac{1+i}{1-i}\). To simplify this, we multiply the numerator and the denominator by the conjugate of the denominator, which is \(1+i\): \[ \frac{1+i}{1-i} \cdot \frac{1+i}{1+i} = \frac{(1+i)(1+i)}{(1-i)(1+i)} \] ...
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