Given that sinθ+cosθcotθ≡cscθ\sin \theta + \cos \theta \cot \theta \equiv \csc \thetasinθ+cosθcotθ≡cscθ,
Hence find the exact roots of the equation sinθ+cosθcotθ=4sinθ\sin \theta + \cos \theta \cot \theta = 4 \sin \thetasinθ+cosθcotθ=4sinθ, for 0≤θ≤2π0 \leq \theta \leq 2\pi0≤θ≤2π
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.