When x x\,x is small, show that tan(4x)cos(3x)\tan(4x) \cos(3x)tan(4x)cos(3x) can be approximated by 4x−18x34x - 18x^34x−18x3
Hence, approximate the value of tan(0.4)cos(0.3)\tan(0.4) \cos(0.3)tan(0.4)cos(0.3)
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.