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📰 Thus, the minimum value is $ \boxed{5} $. 📰 Question: A mammalogist observes that the social cohesion index $ S $ of a primate group over time is modeled by $ S = \left| \sin\left(\frac{3\pi}{7} t\right) + \cos\left(\frac{4\pi}{7} t\right) \right| $, where $ t $ is time in days. How many times in one full cycle of $ S $ (i.e., over $ t \in [0, 7) $) does $ S = 1 $? 📰 Solution: The function $ S(t) = \left| \sin\left(\frac{3\pi}{7} t\right) + \cos\left(\frac{4\pi}{7} t\right) \right| $ has period $ T $, where both components repeat. The fundamental period is the least common multiple of the periods of $ \sin\left(\frac{3\pi}{7} t\right) $ and $ \cos\left(\frac{4\pi}{7} t\right) $. 📰 The Shocking Truth About Aholding How It Can Boost Your Life Overnight 2840073 📰 Why This Weeks Printing Industry News Is Its Biggest Due To October 2025S Groundbreaking Shifts 9322957 📰 Ph Stock Hitting A New Record Heres Why Everyones Pouring Money In 9622026 📰 But 4 3 Not In Interval Discard 3529608 📰 The Area Of The Pool Is Calculated As 5559474 📰 Android File Transfer To Mac 7824097 📰 Avdbs Is Covered In Secretsthis Lone Detail Will Revolutionize Your Workflow 9078088 📰 Funker530 Finally Reveals The Secret That Will Shock You 7222248 📰 You Wont Believe The True Origins Of Metroid Prime 3Secrets Revealed 5681654 📰 How Long Does Zofran Last 6545719 📰 How Much Is Steve Harvey Worth 7400807 📰 What Is Pemdas 7260497 📰 This Simple Summer Food Will Change How You Feel Forever 4443282 📰 The Shocking Truth About Mel Gibsons Youth Revealedhe Was Far Younger Than You Thought 6516194 📰 Shocked When Did Gta 5 Actually Hit Dashes Of Chaos In 2013 The Official Launch Date Exposed 2317000