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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) $. 📰 Principal Vs Principle Meaning 782873 📰 You Wont Believe What Iggy Azaleas Iggy Azalea Ass Song Revealsshocking Reaction Traveled The Internet 7743885 📰 Where Is Cuba Located 4592035 📰 Ventura Foods Salad Dressing Recall 7342267 📰 Vertigem 8762297 📰 Dolce And Gabbana Slides 7031601 📰 Wsecu Login 2016066 📰 Sand Draw Like A Prothis Hidden Skill Will Blow Your Mind 547339 📰 These Rice Bowl Recipes Will Make Your Twice A Week Meals Feel Like Gourmet Fun 6007228 📰 5Question A Climatologist Analyzing Temperature Anomalies Over 7 Consecutive Years Observes That Each Years Anomaly Is An Integer Between 3Circ C And 3Circ C Inclusive How Many Distinct Sequences Of Anomalies Are Possible If No Two Consecutive Years Can Have The Same Anomaly 6976011 📰 Verzon Careers 7988931 📰 Sierra University 9568210 📰 Play Video Games Online 4263658 📰 Powerrball Drawing 7456832 📰 Finance Rates For New Cars 2211986