Solve, for −180≤x≤180-180 \leq x \leq 180−180≤x≤180, the equation,
4cot2x−2cosec2x+4cosecx=26 4\cot^2x - 2\text{cosec}^2x + 4\text{cosec}x = 26 4cot2x−2cosec2x+4cosecx=26Give your answers to 1 decimal place where appropriate.
274 exam-style questions on Edexcel A Level Maths Trigonometric Functions, covering 6.1 Secant, Cosecant and Cotangent, 6.2 Graphs of Sec x, Cosec x and Cot x, 6.3 Using Sec x, Cosec x and Cot x, 6.4 Trigonometric Identities, and 6.5 Inverse Trigonometric Functions. Each one has a worked solution and a mark scheme showing where the marks go.