Show that, for small values of xxx, the graph of y=3+6sinx3−ktanx2\displaystyle y = 3 + 6 \sin \frac{x}{3} - k \tan \frac{x}{2}y=3+6sin3x−ktan2x can be approximated by a straight line, giving your answer in terms of kkk.
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.