Prove the following identities for all valid values of AAA:
sec2A+cosec2A≡tan2A+cot2A+2\sec^2 A + \text{cosec}^2 A \equiv \tan^2 A + \cot^2 A + 2sec2A+cosec2A≡tan2A+cot2A+2
(tanA+cotA)2≡sec2A+cosec2A(\tan A + \cot A)^2 \equiv \sec^2 A + \text{cosec}^2 A(tanA+cotA)2≡sec2A+cosec2A
Practise Edexcel A Level Maths Trigonometric Functions with exam-style questions for A Level Maths. 36 questions 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, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.