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.
97 exam-style questions on WJEC A Level Maths 1.5 Trigonometry, covering 1.5.1 Trigonometry, 1.5.2 Trigonometry, 1.5.3 Trigonometry, 1.5.4 Trigonometry, and 1.5.5 Trigonometry. Each one has a worked solution and a mark scheme showing where the marks go.