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.
317 exam-style questions on OCR A Level Maths 1.5 Trigonometry, covering 1.5.1 Definitions for all arguments, 1.5.2 Sine and cosine rules, 1.5.3 Area of a triangle, 1.5.4 Radian measure (A-level only), 1.5.5 Small angle approximations (A-level only), 1.5.6 Graphs of basic trigonometric functions, 1.5.7 Exact values in radians (A-level only), 1.5.8 Reciprocal and inverse trigonometric ratios (A-level only), 1.5.9 Graphs of reciprocal and inverse functions (A-level only), 1.5.10 Trigonometric identities, 1.5.11 Further trigonometric identities (A-level only), 1.5.12 Double angle and compound angle formulae (A-level only), 1.5.13 Geometrical proofs of formulae (A-level only), 1.5.14 Harmonic form Rcos / Rsin (A-level only), 1.5.15 Trigonometric equations, 1.5.16 Proof involving trigonometric functions (A-level only), and 1.5.17 Trigonometric functions in context. Each one has a worked solution and a mark scheme showing where the marks go.