Recall that a complex number \(z = x + yi\) can be expressed in polar form as \(z = r(\cos \theta + i\sin \theta)\), where \(r = \sqrt{x^2 + y^2}\) is the modulus and \(\theta = \tan^{-1}\left(\frac{y}{x}\right)\) is the argument.
For \(1+i\), we have:
- \(x =
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