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=06\cos(1.5\alpha - 1.2) + 2 = 06cos(1.5α−1.2)+2=0 Determine 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−cosθ5 \tan \theta \sin \theta = 3 - \cos \theta5tanθsinθ=3−cosθ Solve this equation for 0∘<θ<360∘0^\circ < \theta < 360^\circ0∘<θ<360∘, giving your answers to the nearest 0.1 degree.