Proving unit modulus via conjugates
Proving unit modulus via conjugates
IB Year 6 | Grade 12
Given that \((x+yi)(1-ti)=1+ti\) where \(t\in\mathbb{R}\) and \(x,\ y\in\mathbb{R}\), show that \(x^2+y^2=1\).
Solution:
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Answer:Shown; \(x^2+y^2=1\)
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