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como se dice en ingles hola - Parker Core Knowledge

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 So the roots are:

📌 $ k=0 $: $ e^{i\pi/4} = \frac{\sqrt{2}}{2} + i\frac{\sqrt{2}}{2} $

📌 $ k=1 $: $ e^{i3\pi/4} = -\frac{\sqrt{2}}{2} + i\frac{\sqrt{2}}{2} $

📌 $ k=2 $: $ e^{i5\pi/4} = -\frac{\sqrt{2}}{2} - i\frac{\sqrt{2}}{2} $

📌 $ k=3 $: $ e^{i7\pi/4} = \frac{\sqrt{2}}{2} - i\frac{\sqrt{2}}{2} $

📌 The imaginary parts are $ \pm \frac{\sqrt{2}}{2} $. The maximum imaginary part is $ \frac{\sqrt{2}}{2} $.

📌 We are told this maximum is $ \sin \theta $ for $ 0 < \theta < \pi $.

📌 \sin \theta = \frac{\sqrt{2}}{2} \quad \Rightarrow \quad \theta = \frac{\pi}{4} \quad \text{or} \quad \theta = \frac{3\pi}{4}

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