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.
225 exam-style questions on WJEC A Level Maths 3.5 Trigonometry (A-level only), covering 3.5.1 Trigonometry (A-level only), 3.5.2 Trigonometry (A-level only), 3.5.3 Trigonometry (A-level only), 3.5.4 Trigonometry (A-level only), 3.5.5 Trigonometry (A-level only), 3.5.6 Trigonometry (A-level only), 3.5.7 Trigonometry (A-level only), and 3.5.8 Trigonometry (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.