Show that, for small values of x x\,x measured in radians, 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 a straight line, and state the equation of this line.
317 exam-style questions on AQA A Level Maths 1.8 E: Trigonometry, covering 1.8.1 Trigonometric definitions, rules and radians, 1.8.2 Small angle approximations (A-level only), 1.8.3 Trigonometric functions and exact values, 1.8.4 Reciprocal and inverse trigonometric functions (A-level only), 1.8.5 Trigonometric identities, 1.8.6 Compound and double angle formulae (A-level only), 1.8.7 Solving trigonometric equations, 1.8.8 Proofs with trigonometric identities, and 1.8.9 Trigonometry in context. Each one has a worked solution and a mark scheme showing where the marks go.