A mechanical linkage tracks an angular displacement θ\thetaθ such that its extension EEE is modelled by the function
E(θ)=−2csc(θ+π) E(\theta) = -2 \csc(\theta + \pi) E(θ)=−2csc(θ+π)for 0≤θ≤2π0 \le \theta \le 2\pi0≤θ≤2π.
Sketch the graph of EEE against θ\thetaθ, stating the equations of any vertical asymptotes and the coordinates of the local turning points.
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.
