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📰 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 angular frequencies are $ \frac{3\pi}{7} $ and $ \frac{4\pi}{7} $, so periods are $ \frac{2\pi}{3\pi/7} = \frac{14}{3} $, and $ \frac{2\pi}{4\pi/7} = \frac{7}{2} $. The LCM of $ \frac{14}{3} $ and $ \frac{7}{2} $ is found by expressing as rational multiples. 📰 Let $ t \mapsto \theta = \frac{\pi}{7} t $, so $ t \in [0,7) \Rightarrow \theta \in [0,7\pi) $. Then: 📰 Brk B Option Chain 6580704 📰 April 3 1926912 📰 Your Performance B Game Just Got Unstoppable You Wont Believe What Triggered This Explosion 1856626 📰 This Lip Blush Got Models Fighting Over It Want The Same Radiant Look 1866945 📰 Miku Fortnite Haunt Fans Explode Awestruck As Kpop Star Joins The Battle Royale 950151 📰 Amigo Energy 6919809 📰 Verizon Wireless El Centro Ca 4463592 📰 Swiss Coffee The Secret Brew Thats Taking The World By Storm 3795688 📰 Switch Games Top 1819870 📰 5 From Confusion To Confident What Ulq Has To Offer Surprised Everyone 1681123 📰 Upin Search Lemma Discover The Trick That Boosted Search Results By 300 Overnight 5956050 📰 5 From Infected Nightmares To Healed Villagers The Fastest Healing Method Revealed 8921536 📰 Did You Realize Ultra More Dr Trdl The Shocking Truth Behind His Hidden Secrets 5947433 📰 Apple Park Apple Park Way Cupertino Ca 7739670 📰 Cuando Me Enamoro Cast 8675591