Using the identity cosec2θ=1+cot2θ\text{cosec}^2\theta = 1 + \cot^2\thetacosec2θ=1+cot2θ, solve, for −π≤θ≤π-\pi \leq \theta \leq \pi−π≤θ≤π, the equation,
cosec2θ+cot2θ=3 \text{cosec}^2\theta + \cot^2\theta = 3 cosec2θ+cot2θ=3Give your answers in terms of π\piπ.
274 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.