Solve, for 0<θ<π0 < \theta < \pi0<θ<π
3secθ=8sinθ 3 \sec \theta = 8 \sin \theta 3secθ=8sinθgiving your answers, in radians, to 3 significant figures.
Solve, for 0<x<180∘0 < x < 180^\circ0<x<180∘
tan3x−tan22∘1+tan3xtan22∘=0.8 \frac{\tan 3x - \tan 22^\circ}{1 + \tan 3x \tan 22^\circ} = 0.8 1+tan3xtan22∘tan3x−tan22∘=0.8giving your answers, in degrees, to one decimal place.
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.