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Home » How This Zombie Slayer’s Laughless Murder Spree Became Internet Infamy! - American Beagle Club

How This Zombie Slayer’s Laughless Murder Spree Became Internet Infamy! - American Beagle Club

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 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:

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

📌 \boxed{30^\circ, 90^\circ, 150^\circ, 270^\circ}

📌 Find the vector \(\mathbf{v}\) such that \(\mathbf{v} \times \mathbf{b} = \langle 1, 0, -1 \rangle\) and \(\mathbf{b} = \langle 0, 1, 0 \rangle\).

📌 The vector cross product \(\mathbf{v} \times \mathbf{b} = \langle v_1, v_2, v_3 \rangle \times \langle 0, 1, 0 \rangle\) is computed as:

📌 \mathbf{v} \times \mathbf{b} = \langle v_3 \cdot 1 - v_2 \cdot 0, v_1 \cdot 0 - v_3 \cdot 0, v_2 \cdot 0 - v_1 \cdot 1 \rangle = \langle v_3, 0, -v_1 \rangle.

📌 We set this equal to \(\langle 1, 0, -1 \rangle\), resulting in the system:

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\frac{n}{2} (4n + 10) = 150 \implies n(4n + 10) = 300 \implies 4n^2 +...
Divide by 2: \( 2n^2 + 5n - 150 = 0 \). Use the quadratic formula:
n = \frac{-5 \pm \sqrt{5^2 - 4(2)(-150)}}{2(2)} = \frac{-5 \pm \sqrt{2...
Take the positive root: \( n = \frac{30}{4} = 7.5 \). Since \( n \) mu...
S_7 = \frac{7}{2} (4(7) + 10) = \frac{7}{2} (38) = 7 \cdot 19 = 133 \l...
\( S_8 = \frac{8}{2} (4(8) + 10) = 4 \cdot 42 = 168 > 150 \), so maxim...
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