Prove that
sinθcosθ+cosθsinθ=2cosec2θ \frac{\sin \theta}{\cos \theta} + \frac{\cos \theta}{\sin \theta} = 2 \operatorname{cosec} 2\theta cosθsinθ+sinθcosθ=2cosec2θSketch the graph of y=2cosec2θy = 2 \operatorname{cosec} 2\thetay=2cosec2θ for 0∘<θ<360∘0^\circ < \theta < 360^\circ0∘<θ<360∘.
Solve, 0≤θ<360∘0 \leq \theta < 360^\circ0≤θ<360∘,
sinθcosθ+cosθsinθ=5 \frac{\sin \theta}{\cos \theta} + \frac{\cos \theta}{\sin \theta} = 5 cosθsinθ+sinθcosθ=5giving your answers to 1 decimal place.
137 exam-style questions on Edexcel A Level Maths Trigonometry and Modelling, covering 7.1 Addition Formulae, 7.2 Double Angle Formulae, 7.3 Solving Trigonometric Equations, 7.4 Simplifying a cos x +- b sin x, 7.5 Proving Trigonometric Identities, and 7.6 Modelling with Trigonometric Functions. Each one has a worked solution and a mark scheme showing where the marks go.