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Home » \[ A = 10,000 \left(1 + \frac0.054\right)^4 \times 3 \] - inBeat

\[ A = 10,000 \left(1 + \frac0.054\right)^4 \times 3 \] - inBeat

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 Using the double angle identity for sine, \(\sin(2z) = 2\sin(z)\cos(z)\), we rewrite the equation:

📌 2\sin(z)\cos(z) = \cos(z)

📌 Assuming \(\cos(z)

📌 eq 0\), we can divide both sides by \(\cos(z)\):

📌 2\sin(z) = 1 \quad \Rightarrow \quad \sin(z) = rac{1}{2}

📌 The solutions to \(\sin(z) = rac{1}{2}\) within the range \(0^\circ \leq z \leq 360^\circ\) are:

📌 z = 30^\circ, \quad z = 150^\circ

📌 Next, consider the case where \(\cos(z) = 0\):

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