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=05\sin(2\phi + 0.8) + 3 = 05sin(2ϕ+0.8)+3=0
giving 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=11−4cosα5\tan \alpha \sin \alpha = 11 - 4\cos \alpha5tanαsinα=11−4cosα
Solve this equation for 0∘<α<360∘0^\circ < \alpha < 360^\circ0∘<α<360∘, giving your answers, in degrees, to one decimal place.
Practise Edexcel A Level Maths 7.3 Solving Trigonometric Equations with exam-style questions for A Level Maths. 29 questions, matched to the Edexcel A Level Maths (9MA0) 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.