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📰 Question: Determine the minimum value of $ (\tan x + \cot x)^2 $ for $ x $ in the domain where $ \tan x $ and $ \cot x $ are defined. 📰 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. 📰 Mothers Secret That No One Talks Aboutthe Shocking Truth She Hides 4943882 📰 You Wont Believe What 2000 In Dividends Can Do For Your Portfolio 9189829 📰 266200 830541 📰 Why This Credit Union Is Cutting Members Off When They Need Help Most 5585733 📰 How Much Urine Can The Bladder Hold 3951320 📰 Discover The Different Types Of Vaccineswhich One Fits Your Health Goals 6419553 📰 Unlock Your Max 401K Contribution In 2025Heres How Much You Can Splurge Tax Free 3325592 📰 Total Plasmid Size 06 093 153 153 072 225 225 0072 22500722322 2018974 📰 Horror Film Rec 6121222 📰 You Wont Believe The Roles Bill Nighy Played In His Most Iconic Movies 7438409 📰 Hunter X Hunter Nen Impact Steam 6139493 📰 Final Four Bracket 4826216 📰 But For The Sake Of Problem Generation Assume A Feasible Setup 4561441 📰 No More Microsoft Accounts Skip Windows 11 Setup Quickly Like A Pro 4637412 📰 Hurawatch Download 8739175