The angular position, α\alphaα, of a robotic arm segment relative to its base is modelled by the equation
6cos(1.5α−1.2)+2=0 6\cos(1.5\alpha - 1.2) + 2 = 0 6cos(1.5α−1.2)+2=0Determine all possible values for α\alphaα in the range −π<α<π-\pi < \alpha < \pi−π<α<π, giving your answers in radians to 2 decimal places.
In a solar tracking system, the tilt angle θ\thetaθ is required to satisfy the equation
5tanθsinθ=3−cosθ 5 \tan \theta \sin \theta = 3 - \cos \theta 5tanθsinθ=3−cosθSolve this equation for 0∘<θ<360∘0^\circ < \theta < 360^\circ0∘<θ<360∘, giving your answers to the nearest 0.1 degree.
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.
