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1.7.22 Proofs involving trigonometric functions (A-level only)

1.7.22 Proofs involving trigonometric functions (A-level only)

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Question 3

Prove the following identities for all valid values of AAA:

a.

sec⁡2A+cosec2A≡tan⁡2A+cot⁡2A+2\sec^2 A + \text{cosec}^2 A \equiv \tan^2 A + \cot^2 A + 2sec2A+cosec2A≡tan2A+cot2A+2

[2]
b.

(tan⁡A+cot⁡A)2≡sec⁡2A+cosec2A(\tan A + \cot A)^2 \equiv \sec^2 A + \text{cosec}^2 A(tanA+cotA)2≡sec2A+cosec2A

[3]
Markscheme

1.7.22 Proofs involving trigonometric functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.7.22 Proofs involving trigonometric functions (A-level only)

38 exam-style questions on OCR (MEI) A Level Maths 1.7.22 Proofs involving trigonometric functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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