Prove the identities:
sec2x−cosec2x≡tan2x−cot2x\sec^2x - \text{cosec}^2x \equiv \tan^2x - \cot^2xsec2x−cosec2x≡tan2x−cot2x
(secx−cosx)2≡tan2x−sin2x(\sec x - \cos x)^2 \equiv \tan^2x - \sin^2x(secx−cosx)2≡tan2x−sin2x
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.