Prove the following trigonometric identities:
cosec2θ−sec2θ≡cot2θ−tan2θ\text{cosec}^2\theta - \sec^2\theta \equiv \cot^2\theta - \tan^2\thetacosec2θ−sec2θ≡cot2θ−tan2θ
(cosecθ−sinθ)2≡cot2θ−cos2θ(\text{cosec}\theta - \sin\theta)^2 \equiv \cot^2\theta - \cos^2\theta(cosecθ−sinθ)2≡cot2θ−cos2θ
Practise Edexcel A Level Maths 6.4 Trigonometric Identities with exam-style questions for A Level Maths. 12 questions, 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.