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
221 exam-style questions on CCEA A Level Maths 3.4 Trigonometry (A-level only), covering 3.4.1 Trigonometry (A-level only), 3.4.2 Trigonometry (A-level only), 3.4.3 Trigonometry (A-level only), 3.4.4 Trigonometry (A-level only), 3.4.5 Trigonometry (A-level only), 3.4.6 Trigonometry (A-level only), 3.4.7 Trigonometry (A-level only), and 3.4.8 Trigonometry (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.