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Home » Thus, the total volume of the mixture is $\boxed1 \frac1316$ liters. - Abbey Badges

Thus, the total volume of the mixture is $\boxed1 \frac1316$ liters. - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 2\sin(\theta)\cos(\theta) = \cos(\theta).

📌 Assuming \(\cos(\theta) \neq 0\), we can divide both sides by \(\cos(\theta)\):

📌 2\sin(\theta) = 1.

📌 \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.

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