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Home » Youll Lose Yourself in These Insane Online Adventure Games—Now Play! - Sterling Industries

Youll Lose Yourself in These Insane Online Adventure Games—Now Play! - Sterling Industries

📅 April 18, 2026 👤 scraface

Apr 18, 2026

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📌 \sin(2z) = \sin(540^\circ) = 0, \quad \cos(z) = \cos(270^\circ) = 0 \Rightarrow 0 = 0 ext{ true}.

📌 So even though $\sin z

📌 e 1/2$, the $\cos z = 0$ makes the whole expression zero. But our factorization is correct: $\cos z (2\sin z - 1) = 0$ is equivalent to the equation. So solutions when $\cos z = 0$ or $\sin z = 1/2$.

📌 $\cos z = 0$ â $z = 90^\circ, 270^\circ$.

📌 $\sin z = 1/2$ â $z = 30^\circ, 150^\circ$.

📌 All four satisfy the equation.

📌 Thus, the solutions are $30^\circ, 90^\circ, 150^\circ, 270^\circ$.

📌 Question: Compute $(\cos 15^\circ + i \sin 15^\circ)^6$ and express the result in rectangular form.

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