When x x\,x is small, show that tan(2x)cos(2x)\tan(2x) \cos(2x)tan(2x)cos(2x) can be approximated by 2x−43x3\displaystyle 2x - \frac{4}{3}x^32x−34x3
Hence, approximate the value of tan(0.6)cos(0.6)\tan(0.6) \cos(0.6)tan(0.6)cos(0.6)
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.