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Home » \[ 144 = 74 + 2bc \] - Dachbleche24

\[ 144 = 74 + 2bc \] - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 \sin(\theta) = \frac{1}{2}.

📌 The solutions for \(\theta\) in the interval \([0^\circ, 360^\circ]\) are:

📌 \theta = 30^\circ \quad \text{and} \quad \theta = 150^\circ.

📌 Next, consider the case where \(\cos(\theta) = 0\). This occurs at:

📌 \theta = 90^\circ \quad \text{and} \quad \theta = 270^\circ.

📌 Checking these values in the original equation, we find \(\sin(180^\circ) = 0\) and \(\sin(540^\circ) = 0\), both equal to \(\cos(90^\circ) = 0\) and \(\cos(270^\circ) = 0\), so they are valid.

📌 Thus, the complete set of solutions is:

📌 \(\theta = 30^\circ, 90^\circ, 150^\circ, 270^\circ\).

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