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Home » Goliath’s Stature Unveiled: Did He Really Measure 40 Feet in Stone?! - Treasure Valley Movers

Goliath’s Stature Unveiled: Did He Really Measure 40 Feet in Stone?! - Treasure Valley Movers

📅 April 18, 2026 👤 scraface

Apr 18, 2026

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📌 \[ f\left(\frac{\pi}{2b}\right) = a \sin\left(b \cdot \frac{\pi}{2b} + c\right) + d = a \sin\left(\frac{\pi}{2} + c\right) + d = 4 \]

📌 Since \(\sin\left(\frac{\pi}{2} + c\right) = \cos(c)\), we have:

📌 \[ a \cos(c) + d = 4 \]

📌 Average value over one period:

📌 The average value of a sine function \( a \sin(bx + c) + d \) over one period is \( d \), so:

📌 \[ d = 3 \]

📌 Substitute \( d = 3 \) into the equations:

📌 \[ a \sin(c) + 3 = 2 \quad \Rightarrow \quad a \sin(c) = -1 \]

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