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Home » \fracx^2100 + \fracy^264 = 1 \quad \text(ellipse) - jntua results

\fracx^2100 + \fracy^264 = 1 \quad \text(ellipse) - jntua results

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 z = 30^\circ, \quad z = 150^\circ

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

📌 \cos(z) = 0 \quad \Rightarrow \quad z = 90^\circ, \quad z = 270^\circ

📌 We verify these solutions in the original equation:

📌 For \(z = 90^\circ\), \(\sin(180^\circ) = 0\) and \(\cos(90^\circ) = 0\), so it satisfies.

📌 For \(z = 270^\circ\), \(\sin(540^\circ) = 0\) and \(\cos(270^\circ) = 0\), so it satisfies.

📌 Thus, the angles \(z \in [0^\circ, 360^\circ]\) that satisfy the equation are:

📌 z = 30^\circ, \quad 150^\circ, \quad 90^\circ, \quad 270^\circ

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