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📰 Solution: Since $ \sin^2 x + \cos^2 x = 1 $, we write $ f(x) = \frac{1}{\sin^2 x + 4\cos^2 x} = \frac{1}{1 + 3\cos^2 x} $. Let $ y = \cos^2 x $, so $ 0 \leq y \leq 1 $. Then $ f(x) = \frac{1}{1 + 3y} $. As $ y $ varies from 0 to 1, $ 1 + 3y $ varies from 1 to 4, so $ f(x) $ varies from $ \frac{1}{4} $ to $ 1 $. Hence, the range of $ f(x) $ is $ \left[\frac{1}{4}, 1\right] $. The final answer is $ \boxed{\left[\frac{1}{4}, 1\right]} $. 📰 Question: Find all angles $ z \in [0^\circ, 360^\circ] $ such that $ \tan z + \cot z = 2 $. 📰 Solution: Start with $ \tan z + \cot z = 2 $. Recall $ \tan z = \frac{\sin z}{\cos z} $, $ \cot z = \frac{\cos z}{\sin z} $. Then: 📰 Frank Rizzo 4447856 📰 Daxters Secret Weapon What This Character Has Kept Us Awake At Night 350097 📰 This Medieval Chainmail Transformation Changed Warriors Forever 9719431 📰 Why Working Just One Full Day A Week Isnt Enough To Thrive 1080266 📰 Create Eye Catching Scatter Plots In Excel With These Simple Hidden Tricks 3104893 📰 Unlock Your Inner Hero With These Best Superhero Costumes Ever Sold 850704 📰 This Mychart Screenshot Shocks Everything You Thought You Knew 8083757 📰 Zod Supermans Win Strategy That Wont Let Superman Escape Confirmed By Top Analysts 2322034 📰 Whats Alpha Characters 6244975 📰 Master Fidelity Conditional Orders This Simple Trick Backed By Experts Techniques Revealed 5945202 📰 Classroomcenter Hack Youve Been Missingwatch Student Learning Skyrocket In Days 6190892 📰 Dexter Resurrection Episode 9 2241019 📰 Crack Todays Wordle Answerstodays Word For Wordle Fans Is Unstoppable 8116713 📰 Potter Harry 5 Spoiler Tour Universe Changing Secrets Revealed 1694831 📰 Sql Define Variable 9715277