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.
Practise Edexcel A Level Maths Radians with exam-style questions for A Level Maths. 52 questions 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, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.