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Trigonometric Functions

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Question 46

Prove the identities:

a.

3sec⁡2x−3cosec2x≡3tan⁡2x−3cot⁡2x3\sec^2x - 3\text{cosec}^2x \equiv 3\tan^2x - 3\cot^2x3sec2x−3cosec2x≡3tan2x−3cot2x

[2]
b.

(4sec⁡x−4cos⁡x)2≡16tan⁡2x−16sin⁡2x(4\sec x - 4\cos x)^2 \equiv 16\tan^2x - 16\sin^2x(4secx−4cosx)2≡16tan2x−16sin2x

[4]
Markscheme

Trigonometric Functions Questions

  1. A Level
  2. /Maths
  3. /Trigonometric Functions

274 exam-style questions on Edexcel A Level Maths Trigonometric Functions, 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. Each one has a worked solution and a mark scheme showing where the marks go.

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