When θ \theta\,θ is small, show that cosθsinθ\displaystyle \frac{\cos \theta}{\sin \theta}sinθcosθ can be approximated by 2−θ22θ\displaystyle \frac{2 - \theta^2}{2\theta}2θ2−θ2
Hence, approximate the value of cosπ24sinπ24\displaystyle \frac{\cos \frac{\pi}{24}}{\sin \frac{\pi}{24}}sin24πcos24π
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.