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Trigonometric Functions

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Question 21
a.

Prove the identity: cosec⁡2x−cot⁡2x≡1\operatorname{cosec}^2x - \cot^2x \equiv 1cosec2x−cot2x≡1

[2]
b.

Prove the identity: (cosec⁡x+sin⁡x)2≡cosec⁡2x+2+sin⁡2x(\operatorname{cosec}x + \sin x)^2 \equiv \operatorname{cosec}^2x + 2 + \sin^2x(cosecx+sinx)2≡cosec2x+2+sin2x

[2]
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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