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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 1
70%

Prove that:

a.

cosec4θ−cot⁡4θ≡1+2cot⁡2θ\text{cosec}^4 \theta - \cot^4 \theta \equiv 1 + 2\cot^2 \thetacosec4θ−cot4θ≡1+2cot2θ

[2]
b.

Hence solve, for 0≤θ≤3600 \leq \theta \leq 3600≤θ≤360, the equation,

cosec4θ−cot⁡4θ=7 \text{cosec}^4 \theta - \cot^4 \theta = 7 cosec4θ−cot4θ=7
[4]
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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