Show that the equation
2cot2x−cosec2x+2cosecx=6 2\cot^2x-\text{cosec}^2x+2\text{cosec}x=6 2cot2x−cosec2x+2cosecx=6can be written as
cosec2x+2cosecx−8=0 \text{cosec}^2x+2\text{cosec}x-8=0 cosec2x+2cosecx−8=0Hence solve, for −180≤x≤180-180 \leq x \leq 180−180≤x≤180, the equation.
Give 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.