When θ \theta\,θ is small, show that cosθ3sinθ\displaystyle \frac{\cos \theta}{3\sin \theta}3sinθcosθ can be approximated by 2−θ26θ\displaystyle \frac{2 - \theta^2}{6\theta}6θ2−θ2
Hence, approximate the value of cos0.13sin0.1\displaystyle \frac{\cos 0.1}{3\sin 0.1}3sin0.1cos0.1
Calculate the percentage error in your approximation
Practise Edexcel A Level Maths Radians with exam-style questions for A Level Maths. 52 questions covering 5.1 Radian Measure, 5.2 Arc Length, 5.3 Areas of Sectors and Segments, 5.4 Solving Trigonometric Equations, and 5.5 Small Angle Approximations, 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.