The lateral force FFF, measured in Newtons, exerted on a precision pendulum support is modeled by the function
F(θ)=14.5+54sin(θ6)−16tan(θ8) F(\theta) = 14.5 + 54 \sin \left( \frac{\theta}{6} \right) - 16 \tan \left( \frac{\theta}{8} \right) F(θ)=14.5+54sin(6θ)−16tan(8θ)where θ\thetaθ is the angular displacement from the vertical in radians. Show that, for small values of θ\thetaθ, the graph of FFF against θ\thetaθ can be approximated by a straight line, and state the equation of this line.
223 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.