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.
Practise AQA A Level Maths 1.8 E: Trigonometry with exam-style questions for A Level Maths. 239 questions covering 1.8.1 Trigonometric definitions, rules and radians, 1.8.2 Small angle approximations (A-level only), 1.8.3 Trigonometric functions and exact values, 1.8.4 Reciprocal and inverse trigonometric functions (A-level only), 1.8.5 Trigonometric identities, 1.8.6 Compound and double angle formulae (A-level only), 1.8.7 Solving trigonometric equations, 1.8.8 Proofs with trigonometric identities, and 1.8.9 Trigonometry in context, matched to the AQA A Level Maths (7357) 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.
