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
38 exam-style questions on AQA A Level Maths 1.8.8 Proofs with trigonometric identities. Each one has a worked solution and a mark scheme showing where the marks go.