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Home » This Queen Chrysalis Phenomenon Is Taking the Internet by Storm—Spot the Signs! - GetMeFoodie

This Queen Chrysalis Phenomenon Is Taking the Internet by Storm—Spot the Signs! - GetMeFoodie

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 Only valid are $z = 30^\circ$ and $z = 150^\circ$.

📌 At $z = 150^\circ$: $\sin(300^\circ) = \sin(-60^\circ) = -\sqrt{3}/2$, $\cos(150^\circ) = -\sqrt{3}/2$ â equal.

📌 So all three? Wait: $\sin(2z) = \cos z$:

📌 $z = 30^\circ$: $\sin(60^\circ) = \sqrt{3}/2$, $\cos(30^\circ) = \sqrt{3}/2$ â OK.

📌 $z = 150^\circ$: $\sin(300^\circ) = -\sqrt{3}/2$, $\cos(150^\circ) = -\sqrt{3}/2$ â OK.

📌 $z = 90^\circ$: $\sin(180^\circ) = 0$, $\cos(90^\circ) = 0$ â 0 = 0 â OK.

📌 $z = 270^\circ$: $\sin(540^\circ) = \sin(180^\circ) = 0$, $\cos(270^\circ) = 0$ â 0 = 0 â OK.

📌 So all four satisfy? But earlier algebra says $\cos z (2\sin z - 1) = 0$, so $\cos z = 0$ or $\sin z = 1/2$.

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