Top Secrets: Banco Pichinchas Hidden Rewards You Didn’t Know About!
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Discover the Hidden Value Behind Banco Pichinchas
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Top Secrets: Banco Pichinchas Hidden Rewards You Didnt Know About!

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عندما يصبح الباقي صفرًا، فإن القاسم المشترك الأكبر هو آخر باقي غير صفري، وهو $15$.
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 $2z$:

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