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
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.