When x x\,x is small, show that tan(2x)cos(5x)\tan(2x) \cos(5x)tan(2x)cos(5x) can be approximated by 2x−25x32x - 25x^32x−25x3
Hence, approximate the value of tan(0.1)cos(0.25)\tan(0.1) \cos(0.25)tan(0.1)cos(0.25)
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.