A robotic arm's angular position ϕ\phiϕ (in radians) is monitored over time. Solve, for −π<ϕ<π-\pi < \phi < \pi−π<ϕ<π, the equilibrium equation
5sin(2ϕ+0.8)+3=0 5\sin(2\phi + 0.8) + 3 = 0 5sin(2ϕ+0.8)+3=0giving your answers, in radians, to 2 decimal places.
In a static analysis of a structural joint, the angle α\alphaα (in degrees) must satisfy the condition
5tanαsinα=11−4cosα 5\tan \alpha \sin \alpha = 11 - 4\cos \alpha 5tanαsinα=11−4cosαSolve this equation for 0∘<α<360∘0^\circ < \alpha < 360^\circ0∘<α<360∘, giving your answers, in degrees, to one decimal place.
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.