Solve, for −180°≤x≤180°-180° \leq x \leq 180°−180°≤x≤180°, the equation
2cot2x−cosec2x+cosecx=42\cot^2 x - \operatorname{cosec}^2 x + \operatorname{cosec} x = 42cot2x−cosec2x+cosecx=4
Give your answers to one decimal place where appropriate.
317 exam-style questions on AQA A Level Maths 1.8 E: Trigonometry, covering 1.8.1 Trigonometric definitions, rules and radians, 1.8.2 Small angle approximations (A-level only), 1.8.3 Trigonometric functions and exact values, 1.8.4 Reciprocal and inverse trigonometric functions (A-level only), 1.8.5 Trigonometric identities, 1.8.6 Compound and double angle formulae (A-level only), 1.8.7 Solving trigonometric equations, 1.8.8 Proofs with trigonometric identities, and 1.8.9 Trigonometry in context. Each one has a worked solution and a mark scheme showing where the marks go.