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 Edexcel A Level Maths Trigonometric Functions with exam-style questions for A Level Maths. 36 questions covering 6.1 Secant, Cosecant and Cotangent, 6.2 Graphs of Sec x, Cosec x and Cot x, 6.3 Using Sec x, Cosec x and Cot x, 6.4 Trigonometric Identities, and 6.5 Inverse Trigonometric Functions, 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.