The angular position, α\alphaα, of a robotic arm segment relative to its base is modelled by the equation
6cos(1.5α−1.2)+2=0 6\cos(1.5\alpha - 1.2) + 2 = 0 6cos(1.5α−1.2)+2=0Determine all possible values for α\alphaα in the range −π<α<π-\pi < \alpha < \pi−π<α<π, giving your answers in radians to 2 decimal places.
In a solar tracking system, the tilt angle θ\thetaθ is required to satisfy the equation
5tanθsinθ=3−cosθ 5 \tan \theta \sin \theta = 3 - \cos \theta 5tanθsinθ=3−cosθSolve this equation for 0∘<θ<360∘0^\circ < \theta < 360^\circ0∘<θ<360∘, giving your answers to the nearest 0.1 degree.
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.