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.
137 exam-style questions on Edexcel A Level Maths Trigonometry and Modelling, covering 7.1 Addition Formulae, 7.2 Double Angle Formulae, 7.3 Solving Trigonometric Equations, 7.4 Simplifying a cos x +- b sin x, 7.5 Proving Trigonometric Identities, and 7.6 Modelling with Trigonometric Functions. Each one has a worked solution and a mark scheme showing where the marks go.