When x x\,x is small, show that sin(2x)cos(4x)\sin(2x) \cos(4x)sin(2x)cos(4x) can be approximated by 2x−16x32x - 16x^32x−16x3
Hence, approximate the value of sin(0.2)cos(0.4)\sin(0.2) \cos(0.4)sin(0.2)cos(0.4)
Calculate the percentage error in your approximation
Practise Edexcel A Level Maths 5.5 Small Angle Approximations with exam-style questions for A Level Maths. 25 questions, 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.