When x x\,x is small, show that tan(3x)cos(2x)\tan(3x) \cos(2x)tan(3x)cos(2x) can be approximated by 3x+3x33x + 3x^33x+3x3
Hence, approximate the value of tan(0.3)cos(0.2)\tan(0.3) \cos(0.2)tan(0.3)cos(0.2)
Calculate the percentage error in your approximation
278 exam-style questions on Edexcel A Level Maths Radians, covering 5.1 Radian Measure, 5.2 Arc Length, 5.3 Areas of Sectors and Segments, 5.4 Solving Trigonometric Equations, and 5.5 Small Angle Approximations. Each one has a worked solution and a mark scheme showing where the marks go.