Limited Edition Christmas Mugs Alert: Hot-F animaux festive & sparkle smash the competition!

Limited Edition Christmas Mugs Alert: Hot-F animaux festive & sparkle smash the competition!

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#### 84.62#### 83.6#### 3.87#### 581#### 6.77#### 950**Question:\[ |a + bi| = \sqrt{a^2 + b^2} = 1 \Rightarrow a^2 + b^2 = 1. \]\[ a + bi = \cos\left(\frac{\pi}{3}\right) + i\sin\left(\frac{\pi}{3}\right). \]\[ \cos\left(\frac{\pi}{3}\right) = \frac{1}{2}, \quad \sin\left(\frac{\pi}{3}\right) = \frac{\sqrt{3}}{2}. \]\[ a = \frac{1}{2}, \quad b = \frac{\sqrt{3}}{2}. \]