When x x\,x is small, show that tan(3x)cos(4x)\tan(3x) \cos(4x)tan(3x)cos(4x) can be approximated by 3x−15x33x - 15x^33x−15x3
Hence, approximate the value of tan(0.3)cos(0.4)\tan(0.3) \cos(0.4)tan(0.3)cos(0.4)
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.