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📰 Solution: Expand $ (\tan x + \cot x)^2 = \tan^2 x + 2 \tan x \cot x + \cot^2 x $. Simplify using $ \tan x \cot x = 1 $: $ \tan^2 x + 2 + \cot^2 x $. Use identity $ \tan^2 x + \cot^2 x = (\tan x - \cot x)^2 + 2 $, so expression becomes $ (\tan x - \cot x)^2 + 4 $. The minimum occurs when $ \tan x = \cot x $, i.e., $ x = \frac{\pi}{4} + k\frac{\pi}{2} $, giving $ 0 + 4 = 4 $. \boxed{4} 📰 Question: Compute $ (\cos \theta + i \sin \theta)^5 $ using De Moivre’s theorem. 📰 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)} 📰 From Bloodstains To Bitcoins The Real Life Horrors Of Streets Of La You Wont Forget 8243211 📰 You Wont Believe How Destructive Bloon Tower Can Beheres How 3826522 📰 Buenos Dias Gif Thatll Make Your Chat Feel Warm Real Download Now 3622156 📰 Game Stick Consoles 6813702 📰 Find The Least Common Multiple Of 18 And 24 6219424 📰 Kevin Jonas Sr 6782722 📰 This Plty Dividend Move Could Transform Your Portfolio Overnightwant To Know How 227274 📰 Kena The Bridge Of Spirits That No One Could Have Predicted Terrifying Truth Inside 368813 📰 Define Hence 5124134 📰 Toy Poodle Puppies Spot The Complete Guide For First Time Owners Puppies Adored 4434049 📰 From Page To Stage Sexy Cosplay That Guarantees Maximum Glow 1292210 📰 Why Yahoos Ats Yaohs Is A Game Changer News You Have To See 9568170 📰 How To Call Verizon From A Verizon Cell Phone 7885940 📰 Well Write Com Join And Transform Your Lifespoiler Its Easier Than You Think 2888163 📰 Cameron Diaz Jamie Foxx 7952407