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📰 إذن، $\gcd(105, 165) = \boxed{15}$.السؤال: أوجد مجموع جميع الزوايا $z \in [0^\circ, 360^\circ]$ التي تحقق $\sin(2z) = \frac{\sqrt{3}}{2}$. 📰 الحل: لحل المعادلة $\sin(2z) = \frac{\sqrt{3}}{2}$، نحدد أولاً الزوايا التي تساوي فيها دالة الجيب $\frac{\sqrt{3}}{2}$. هذه الزوايا في الربعين الأول والثاني ضمن الفترة $[0^\circ, 360^\circ]$ هي $60^\circ$ و $120^\circ$. بما أن وسيط دالة الجيب ضمن المعادلة هو $2z$، فإننا نحل لإيجاد $2z$: 📰 2z = 60^\circ \quad \text{أو} \quad 2z = 120^\circ 📰 How Many Episodes In Mobland 8245256 📰 The Real Mind Behind Wi Fi Was Anything But Ordinary 6596094 📰 Globalprotect Vpn Download Exposed Get Unlimited Access Before Its Gone 9131725 📰 Best Tasting Coffee Pods 8892499 📰 From Rebellion To Ruin The Complete Story Of The Fall Of Man Resistance 4929629 📰 The Shadows Of Yellowstone Season Two Reveals Passions That Burn 3136882 📰 Microsoft Research Internships 2024Exclusive Opportunities For Top Talent 7949429 📰 Finally The Truth Peoplelooker Comes Withyou Wont Remember It After Reading It 4551531 📰 Gbemisola Ikumelo 9152863 📰 Cvv Stock Hype Explodesready For The Hottest Trade Of The Year Click To Cash In 255511 📰 Explore Smash Brothers Flash The Hidden Secrets That Make Every Flick Count 6570871 📰 From Chaos To Cloud Mastery How Oralce Cloud Transforms Your Digital Workflow Forever 3922532 📰 5 American Battery Technology Stocks Secret Momentum Demands Your Immediate Attention 2333171 📰 Remote Jobs In Nc 1075496 📰 Spider Plants The Hidden Danger Lurking In Your Living Room For Cats 6809211