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📰 Solution: By De Moivre’s theorem, $ (\cos \theta + i \sin \theta)^n = \cos(n\theta) + i \sin(n\theta) $. Applying $ n = 5 $, the result is $ \cos(5\theta) + i \sin(5\theta) $. \boxed{\cos(5\theta) + i \sin(5\theta)} 📰 Question: Find the range of $ f(x) = \frac{2\sin x + 1}{\sin x - 3} $ for $ x $ where the denominator is nonzero. 📰 Solution: Let $ y = \frac{2\sin x + 1}{\sin x - 3} $. Solve for $ \sin x $: $ y(\sin x - 3) = 2\sin x + 1 \Rightarrow y\sin x - 3y = 2\sin x + 1 \Rightarrow \sin x(y - 2) = 3y + 1 $. Thus, $ \sin x = \frac{3y + 1}{y - 2} $. Since $ |\sin x| \leq 1 $, solve $ \left| \frac{3y + 1}{y - 2} \right| \leq 1 $. This leads to $ -1 \leq \frac{3y + 1}{y - 2} \leq 1 $. Sol 📰 South Park The Stick Of Truth Windows 387357 📰 Tamilgub 7371612 📰 Mckinley Richardson Caught Nude Her Secret Exposed In Shocking Photos 9047720 📰 Squid Game Old Man 5894623 📰 Is This The Game Changing 529 Fidelity Move Reacting To New Hampshires Policy Shift 4246746 📰 Mclaren Park 9707126 📰 This Periodic Table Breakdown Reveals How Metals Nonmetals Metalloids Change The World 7261573 📰 Unlock Gry Online Secrets The Real Reason Youll Never Quit This Session Again 1887073 📰 Parasite Of Human 3946042 📰 Berkshire Hathaway B Stock Price Hits Record Highare You Ready To Join The Surge 9802912 📰 Kevins Seafood 4798071 📰 Menu At Famous Daves 5048892 📰 Fledged Meaning 9927336 📰 3 The Shocking Spider Identifier That Reveals Any Spider In Seconds 7004742 📰 Josue 19 3452342