A precision robotic arm is calibrated such that its angular deviation ψ\psiψ (in degrees) from a reference plane satisfies the equilibrium alignment condition:
3tan(ψ+60∘)=5cos(ψ+60∘)3 \tan(\psi + 60^\circ) = 5 \cos(\psi + 60^\circ)3tan(ψ+60∘)=5cos(ψ+60∘)
Solve this equation for the interval −180∘<ψ≤180∘-180^\circ < \psi \le 180^\circ−180∘<ψ≤180∘.
Give your answers to one decimal place where appropriate.
Practise Edexcel A Level Maths Trigonometry and Modelling with exam-style questions for A Level Maths. 100 questions 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, 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.