It is given that, for small values of xxx, the graph of y=3+6sinx3−8tanx2\displaystyle y = 3 + 6 \sin \frac{x}{3} - 8 \tan \frac{x}{2}y=3+6sin3x−8tan2x can be approximated by the straight line y=3−2xy = 3 - 2xy=3−2x. Verify this result.
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.