Given that θ\thetaθ is a small angle, find an approximation for cos(3θ)\cos(3\theta)cos(3θ).
Select the correct answer from the options below:
1−9θ221 - \frac{9\theta^2}{2}1−29θ2
1−3θ221 - \frac{3\theta^2}{2}1−23θ2
3−3θ223 - \frac{3\theta^2}{2}3−23θ2
1−9θ21 - 9\theta^21−9θ2
Practise AQA A Level Maths 1.8 E: Trigonometry with exam-style questions for A Level Maths. 239 questions 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, matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.