Given that, for −180≤x≤180-180 \leq x \leq 180−180≤x≤180, the equation,
acot2x−cosec2x+cosecx=b a\cot^2x - \text{cosec}^2x + \text{cosec}x = b acot2x−cosec2x+cosecx=bhas solutions for cosecx=−3\text{cosec}x=-3cosecx=−3 and cosecx=2\text{cosec}x=2cosecx=2, find the values of a a\,a and bbb.
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.