Prove the identities:
cosec2x−1≡cot2x\text{cosec}^2x - 1 \equiv \cot^2xcosec2x−1≡cot2x
cosecx−sinx≡cosxcotx\text{cosec} x - \sin x \equiv \cos x\cot xcosecx−sinx≡cosxcotx
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.