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1 Pure Mathematics

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Question 177

In a precision engineering simulation, the vertical displacement hhh of a micro-lever is modeled by the equation h=15cos⁡(4θ)−6h = 15\cos(4\theta) - 6h=15cos(4θ)−6, where θ\thetaθ is a small angle measured in radians. Using small angle approximations, find a simplified expression for hhh in terms of θ\thetaθ.

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