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Trigonometric Functions

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Question 3

Prove the identities:

a.

2sec⁡2x−2cosec2x≡2tan⁡2x−2cot⁡2x2\sec^2x - 2\text{cosec}^2x \equiv 2\tan^2x - 2\cot^2x2sec2x−2cosec2x≡2tan2x−2cot2x

[2]
b.

(3sec⁡x−3cos⁡x)2≡9tan⁡2x−9sin⁡2x(3\sec x - 3\cos x)^2 \equiv 9\tan^2x - 9\sin^2x(3secx−3cosx)2≡9tan2x−9sin2x

[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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