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.
54 exam-style questions on Edexcel A Level Maths Trigonometric Functions, 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. Each one has a worked solution and a mark scheme showing where the marks go.