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.
278 exam-style questions on Edexcel A Level Maths Radians, covering 5.1 Radian Measure, 5.2 Arc Length, 5.3 Areas of Sectors and Segments, 5.4 Solving Trigonometric Equations, and 5.5 Small Angle Approximations. Each one has a worked solution and a mark scheme showing where the marks go.