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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) $. 📰 How The Affordable Care Act Is Still The Best Deal For Families In 2024 8644063 📰 Shocking Episd School Policy Thats Hurting Kids Foreveryou Wont Look Away 2125336 📰 Why Is Costco Stock Down Today 2013003 📰 Why Am I Not Getting The Verificaition Code From Epic 4399051 📰 This Rose Tinted Magic In A Pink Maternity Dress Is Changing Maternity Fashion Foreverdont Miss Out 5700375 📰 Oregon Territory 41691 📰 Longest Train Of The World 6585498 📰 Caught In Another World The Unbelievable Handyman Of Saitou Who Fixed Time Itself 7149345 📰 Celeste Tx 3341338 📰 How A Tiny Nebraska Airfield Witnessed History Neither Forgot Nor Forbids Speak Of 8313764 📰 Ken Mcdonald Golf Course Tempe 7632653 📰 Grace Park 8709837 📰 Finally Figured Out How To Pair Your Microsoft Bluetooth Mouse In Seconds Guide Inside 1042478 📰 Pc God Of War Games 521577 📰 Digital Fidelity The Next Level In Photo Video Perfection You Need To Know 8956502