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3.5 Trigonometry (A-level only)

3.5 Trigonometry (A-level only)

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Question 93

Prove the following identities.

a.

sec⁡2x−cosec⁡2x≡tan⁡2x−cot⁡2x\sec^2 x - \operatorname{cosec}^2 x \equiv \tan^2 x - \cot^2 xsec2x−cosec2x≡tan2x−cot2x

[2]
b.

(sec⁡x−cos⁡x)2≡tan⁡2x−sin⁡2x(\sec x - \cos x)^2 \equiv \tan^2 x - \sin^2 x(secx−cosx)2≡tan2x−sin2x

[4]
Markscheme

3.5 Trigonometry (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.5 Trigonometry (A-level only)

225 exam-style questions on WJEC A Level Maths 3.5 Trigonometry (A-level only), covering 3.5.1 Trigonometry (A-level only), 3.5.2 Trigonometry (A-level only), 3.5.3 Trigonometry (A-level only), 3.5.4 Trigonometry (A-level only), 3.5.5 Trigonometry (A-level only), 3.5.6 Trigonometry (A-level only), 3.5.7 Trigonometry (A-level only), and 3.5.8 Trigonometry (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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