Determine the values of x x\,x in the interval 0<x<π 0 < x < \pi\,0<x<π that satisfy the equation:
(3x−7.5)(3cosecx−2)=0 (3x - 7.5)(\sqrt{3}\operatorname{cosec} x - 2) = 0 (3x−7.5)(3cosecx−2)=0Solve, for 0∘<θ<360∘0^\circ < \theta < 360^\circ0∘<θ<360∘, the equation:
3cos2θ+8cosθ=1 3\cos 2\theta + 8\cos \theta = 1 3cos2θ+8cosθ=1Give your answers to one decimal place.
37 exam-style questions on OCR (MEI) A Level Maths 1.7.21 Use identities to solve equations (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.