Modulus and argument in terms of a parameter
Modulus and argument in terms of a parameter
IB Year 6 | Grade 12
Find the modulus and the argument of the complex number \(z=1+i\tan\theta\), where \(0<\theta<\dfrac{\pi}{2}\). Give your answers in terms of \(\theta\).
Solution:
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Answer:\(|z|=\sec\theta,\ \arg z=\theta\)
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