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Trigonometric Functions

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Question 83

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.

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

[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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